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56916496 = 2471323197
BaseRepresentation
bin1101100100011…
…1101000010000
310222002122202101
43121013220100
5104032311441
65351530144
71260532210
oct331075020
9128078671
1056916496
112a14522a
1217089954
13ba3a600
1477b8240
154ee4231
hex3647a10

56916496 has 120 divisors (see below), whose sum is σ = 142324224. Its totient is φ = 21565440.

The previous prime is 56916491. The next prime is 56916499. The reversal of 56916496 is 69461965.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56916491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 586720 + ... + 586816.

Almost surely, 256916496 is an apocalyptic number.

56916496 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56916496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71162112).

56916496 is an abundant number, since it is smaller than the sum of its proper divisors (85407728).

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

56916496 is a wasteful number, since it uses less digits than its factorization.

56916496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 150 counting only the distinct ones).

The product of its digits is 349920, while the sum is 46.

The square root of 56916496 is about 7544.3022208817. The cubic root of 56916496 is about 384.6620883921.

The spelling of 56916496 in words is "fifty-six million, nine hundred sixteen thousand, four hundred ninety-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 31 52 56 62 91 97 104 112 124 169 182 194 208 217 248 338 364 388 403 434 496 676 679 728 776 806 868 1183 1261 1352 1358 1456 1552 1612 1736 2366 2522 2704 2716 2821 3007 3224 3472 4732 5044 5239 5432 5642 6014 6448 8827 9464 10088 10478 10864 11284 12028 16393 17654 18928 20176 20956 21049 22568 24056 32786 35308 36673 39091 41912 42098 45136 48112 65572 70616 73346 78182 83824 84196 114751 131144 141232 146692 156364 168392 229502 262288 273637 293384 312728 336784 459004 508183 547274 586768 625456 918008 1016366 1094548 1836016 2032732 2189096 3557281 4065464 4378192 7114562 8130928 14229124 28458248 56916496