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4509890448 = 2437412691217
BaseRepresentation
bin1000011001100111…
…10111011110010000
3102122022011011122120
410030303313132100
533214012443243
62023302334240
7216521302440
oct41463673620
912568134576
104509890448
111a04796498
12a5a42a380
1356b45a53b
1430ad62120
151b5de3c83
hex10ccf7790

4509890448 has 160 divisors (see below), whose sum is σ = 13701623040. Its totient is φ = 1251409920.

The previous prime is 4509890431. The next prime is 4509890453. The reversal of 4509890448 is 8440989054.

It is a super-2 number, since 2×45098904482 = 40678223705923281408, which contains 22 as substring.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 4509890448.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3705136 + ... + 3706352.

It is an arithmetic number, because the mean of its divisors is an integer number (85635144).

Almost surely, 24509890448 is an apocalyptic number.

4509890448 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4509890448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6850811520).

4509890448 is an abundant number, since it is smaller than the sum of its proper divisors (9191732592).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4509890448 is a wasteful number, since it uses less digits than its factorization.

4509890448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1545 (or 1539 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 51.

The square root of 4509890448 is about 67155.7179099442. The cubic root of 4509890448 is about 1652.1722778981.

The spelling of 4509890448 in words is "four billion, five hundred nine million, eight hundred ninety thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 41 42 48 56 82 84 112 123 164 168 246 269 287 328 336 492 538 574 656 807 861 984 1076 1148 1217 1614 1722 1883 1968 2152 2296 2434 3228 3444 3651 3766 4304 4592 4868 5649 6456 6888 7302 7532 8519 9736 11029 11298 12912 13776 14604 15064 17038 19472 22058 22596 25557 29208 30128 33087 34076 44116 45192 49897 51114 58416 66174 68152 77203 88232 90384 99794 102228 132348 136304 149691 154406 176464 199588 204456 231609 264696 299382 308812 327373 349279 399176 408912 463218 529392 598764 617624 654746 698558 798352 926436 982119 1047837 1197528 1235248 1309492 1397116 1852872 1964238 2095674 2291611 2395056 2618984 2794232 3705744 3928476 4191348 4583222 5237968 5588464 6874833 7856952 8382696 9166444 13422293 13749666 15713904 16765392 18332888 26844586 27499332 36665776 40266879 53689172 54998664 80533758 93956051 107378344 109997328 161067516 187912102 214756688 281868153 322135032 375824204 563736306 644270064 751648408 1127472612 1503296816 2254945224 4509890448