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5004238624 = 257112184631
BaseRepresentation
bin1001010100100011…
…01001111100100000
3110220202100122212021
410222101221330200
540222041113444
62144322111224
7235003216660
oct45221517440
913822318767
105004238624
112138842600
12b77aab514
136199b3c58
143568861a0
151e44e2584
hex12a469f20

5004238624 has 72 divisors (see below), whose sum is σ = 12376252224. Its totient is φ = 1949692800.

The previous prime is 5004238621. The next prime is 5004238693. The reversal of 5004238624 is 4268324005.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 5004238624.

It is not an unprimeable number, because it can be changed into a prime (5004238621) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 65212 + ... + 119419.

It is an arithmetic number, because the mean of its divisors is an integer number (171892392).

Almost surely, 25004238624 is an apocalyptic number.

It is an amenable number.

5004238624 is an abundant number, since it is smaller than the sum of its proper divisors (7372013600).

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

5004238624 is a wasteful number, since it uses less digits than its factorization.

5004238624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184670 (or 184651 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 34.

The square root of 5004238624 is about 70740.6433671620. The cubic root of 5004238624 is about 1710.4590065409.

The spelling of 5004238624 in words is "five billion, four million, two hundred thirty-eight thousand, six hundred twenty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 112 121 154 176 224 242 308 352 484 616 847 968 1232 1694 1936 2464 3388 3872 6776 13552 27104 184631 369262 738524 1292417 1477048 2030941 2584834 2954096 4061882 5169668 5908192 8123764 10339336 14216587 16247528 20678672 22340351 28433174 32495056 41357344 44680702 56866348 64990112 89361404 113732696 156382457 178722808 227465392 312764914 357445616 454930784 625529828 714891232 1251059656 2502119312 5004238624