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502792992 = 253213134293
BaseRepresentation
bin11101111110000…
…000001100100000
31022001002112022200
4131332000030200
52012203333432
6121520333200
715313445532
oct3576001440
91261075280
10502792992
112388a48a9
12120474200
1380222460
144aac1852
152e21aa7c
hex1df80320

502792992 has 72 divisors (see below), whose sum is σ = 1539815004. Its totient is φ = 154704384.

The previous prime is 502792987. The next prime is 502792993. The reversal of 502792992 is 299297205.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 501939216 + 853776 = 22404^2 + 924^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (502792993) 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, 63403 + ... + 70890.

Almost surely, 2502792992 is an apocalyptic number.

502792992 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

502792992 is an abundant number, since it is smaller than the sum of its proper divisors (1037022012).

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

502792992 is a wasteful number, since it uses less digits than its factorization.

502792992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134322 (or 134311 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The square root of 502792992 is about 22423.0460018259. The cubic root of 502792992 is about 795.1756488595.

The spelling of 502792992 in words is "five hundred two million, seven hundred ninety-two thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1248 1872 3744 134293 268586 402879 537172 805758 1074344 1208637 1611516 1745809 2148688 2417274 3223032 3491618 4297376 4834548 5237427 6446064 6983236 9669096 10474854 12892128 13966472 15712281 19338192 20949708 27932944 31424562 38676384 41899416 55865888 62849124 83798832 125698248 167597664 251396496 502792992