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516713904 = 2434756957
BaseRepresentation
bin11110110011000…
…110110110110000
31100000021210020000
4132303012312300
52024234321104
6123134550000
715542665350
oct3663066660
91300253200
10516713904
11245742893
12125068300
1383087895
144c8a6b60
153056a639
hex1ecc6db0

516713904 has 100 divisors (see below), whose sum is σ = 1709195664. Its totient is φ = 147629952.

The previous prime is 516713903. The next prime is 516713933. The reversal of 516713904 is 409317615.

516713904 is a `hidden beast` number, since 516 + 7 + 139 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (516713903) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 19407 + ... + 37550.

Almost surely, 2516713904 is an apocalyptic number.

516713904 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

516713904 is an abundant number, since it is smaller than the sum of its proper divisors (1192481760).

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

516713904 is a wasteful number, since it uses less digits than its factorization.

516713904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56984 (or 56969 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 516713904 is about 22731.3418873590. The cubic root of 516713904 is about 802.4476618849.

The spelling of 516713904 in words is "five hundred sixteen million, seven hundred thirteen thousand, nine hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 81 84 108 112 126 144 162 168 189 216 252 324 336 378 432 504 567 648 756 1008 1134 1296 1512 2268 3024 4536 9072 56957 113914 170871 227828 341742 398699 455656 512613 683484 797398 911312 1025226 1196097 1366968 1537839 1594796 2050452 2392194 2733936 3075678 3189592 3588291 4100904 4613517 4784388 6151356 6379184 7176582 8201808 9227034 9568776 10764873 12302712 14353164 18454068 19137552 21529746 24605424 28706328 32294619 36908136 43059492 57412656 64589238 73816272 86118984 129178476 172237968 258356952 516713904