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4455217340 = 225771523857
BaseRepresentation
bin1000010011000110…
…10011100010111100
3102111111021111020122
410021203103202330
533111013423330
62014030434112
7215255502560
oct41143234274
912444244218
104455217340
111986943802
12a44062938
135600270a2
143039ad6a0
151b11e45e5
hex1098d38bc

4455217340 has 96 divisors (see below), whose sum is σ = 10876529664. Its totient is φ = 1501355520.

The previous prime is 4455217303. The next prime is 4455217357. The reversal of 4455217340 is 437125544.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 4455217340.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5198192 + ... + 5199048.

It is an arithmetic number, because the mean of its divisors is an integer number (113297184).

Almost surely, 24455217340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4455217340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5438264832).

4455217340 is an abundant number, since it is smaller than the sum of its proper divisors (6421312324).

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

4455217340 is a wasteful number, since it uses less digits than its factorization.

4455217340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1467 (or 1465 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 35.

The square root of 4455217340 is about 66747.4144817610. The cubic root of 4455217340 is about 1645.4687232712.

The spelling of 4455217340 in words is "four billion, four hundred fifty-five million, two hundred seventeen thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 71 140 142 284 355 497 523 710 857 994 1046 1420 1714 1988 2092 2485 2615 3428 3661 4285 4970 5230 5999 7322 8570 9940 10460 11998 14644 17140 18305 23996 29995 36610 37133 59990 60847 73220 74266 119980 121694 148532 185665 243388 259931 304235 371330 425929 448211 519862 608470 742660 851858 896422 1039724 1216940 1299655 1703716 1792844 2129645 2241055 2599310 3137477 4259290 4482110 5198620 6274954 8518580 8964220 12549908 15687385 31374770 31822981 62749540 63645962 127291924 159114905 222760867 318229810 445521734 636459620 891043468 1113804335 2227608670 4455217340