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4495039152 = 2431921491741
BaseRepresentation
bin1000010111110110…
…01101101010110000
3102121021012122111120
410023323031222300
533201212223102
62022012142240
7216251126262
oct41373155260
912537178446
104495039152
1119a737249a
12a55467980
1356835a7a6
14308db7b32
151b495d6bc
hex10becdab0

4495039152 has 120 divisors (see below), whose sum is σ = 12344857200. Its totient is φ = 1409149440.

The previous prime is 4495039103. The next prime is 4495039163. The reversal of 4495039152 is 2519305944.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

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 23 ways as a sum of consecutive naturals, for example, 2581002 + ... + 2582742.

It is an arithmetic number, because the mean of its divisors is an integer number (102873810).

Almost surely, 24495039152 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 4495039152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6172428600).

4495039152 is an abundant number, since it is smaller than the sum of its proper divisors (7849818048).

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

4495039152 is a wasteful number, since it uses less digits than its factorization.

4495039152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1939 (or 1914 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 42.

The square root of 4495039152 is about 67045.0531508478. The cubic root of 4495039152 is about 1650.3567214039.

The spelling of 4495039152 in words is "four billion, four hundred ninety-five million, thirty-nine thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 149 152 228 298 304 361 447 456 596 722 894 912 1083 1192 1444 1741 1788 2166 2384 2831 2888 3482 3576 4332 5223 5662 5776 6964 7152 8493 8664 10446 11324 13928 16986 17328 20892 22648 27856 33079 33972 41784 45296 53789 66158 67944 83568 99237 107578 132316 135888 161367 198474 215156 259409 264632 322734 396948 430312 518818 529264 628501 645468 778227 793896 860624 1037636 1257002 1290936 1556454 1587792 1885503 2075272 2514004 2581872 3112908 3771006 4150544 4928771 5028008 6225816 7542012 9857542 10056016 12451632 14786313 15084024 19715084 29572626 30168048 39430168 59145252 78860336 93646649 118290504 187293298 236581008 280939947 374586596 561879894 749173192 1123759788 1498346384 2247519576 4495039152