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56146496 = 267235449
BaseRepresentation
bin1101011000101…
…1101001000000
310220122112111212
43112023221000
5103333141441
65323225252
71251144260
oct326135100
9126575455
1056146496
112976976a
1216978228
13b82aca3
1476577a0
154de0eeb
hex358ba40

56146496 has 56 divisors (see below), whose sum is σ = 132892800. Its totient is φ = 23012352.

The previous prime is 56146483. The next prime is 56146511. The reversal of 56146496 is 69464165.

It is a tau number, because it is divible by the number of its divisors (56).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 7580 + ... + 13028.

Almost surely, 256146496 is an apocalyptic number.

56146496 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 56146496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66446400).

56146496 is an abundant number, since it is smaller than the sum of its proper divisors (76746304).

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

56146496 is a wasteful number, since it uses less digits than its factorization.

56146496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5491 (or 5481 counting only the distinct ones).

The product of its digits is 155520, while the sum is 41.

The square root of 56146496 is about 7493.0965561642. The cubic root of 56146496 is about 382.9195612624.

The spelling of 56146496 in words is "fifty-six million, one hundred forty-six thousand, four hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 64 92 112 161 184 224 322 368 448 644 736 1288 1472 2576 5152 5449 10304 10898 21796 38143 43592 76286 87184 125327 152572 174368 250654 305144 348736 501308 610288 877289 1002616 1220576 1754578 2005232 2441152 3509156 4010464 7018312 8020928 14036624 28073248 56146496