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508720896 = 28321911621
BaseRepresentation
bin11110010100100…
…111011100000000
31022110020200212200
4132110213130000
52020213032041
6122251353200
715415025205
oct3624473400
91273220780
10508720896
112411835a2
12122452800
13815196a8
144b7c5cac
152e9dc1b6
hex1e527700

508720896 has 108 divisors (see below), whose sum is σ = 1544098920. Its totient is φ = 160634880.

The previous prime is 508720873. The next prime is 508720909. The reversal of 508720896 is 698027805.

It is a super-3 number, since 3×5087208963 (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37966 + ... + 49586.

Almost surely, 2508720896 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 508720896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (772049460).

508720896 is an abundant number, since it is smaller than the sum of its proper divisors (1035378024).

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

508720896 is a wasteful number, since it uses less digits than its factorization.

508720896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11662 (or 11645 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 508720896 is about 22554.8419635341. The cubic root of 508720896 is about 798.2884742943.

The spelling of 508720896 in words is "five hundred eight million, seven hundred twenty thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 128 144 152 171 192 228 256 288 304 342 384 456 576 608 684 768 912 1152 1216 1368 1824 2304 2432 2736 3648 4864 5472 7296 10944 11621 14592 21888 23242 34863 43776 46484 69726 92968 104589 139452 185936 209178 220799 278904 371872 418356 441598 557808 662397 743744 836712 883196 1115616 1324794 1487488 1673424 1766392 1987191 2231232 2649588 2974976 3346848 3532784 3974382 4462464 5299176 6693696 7065568 7948764 8924928 10598352 13387392 14131136 15897528 21196704 26774784 28262272 31795056 42393408 56524544 63590112 84786816 127180224 169573632 254360448 508720896