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56096064 = 26353607
BaseRepresentation
bin1101010111111…
…1010101000000
310220112222100000
43111333111000
5103330033224
65322200000
71250544243
oct325772500
9126488300
1056096064
1129734892
1216953000
13b81104b
14764325a
154dd10c9
hex357f540

56096064 has 84 divisors (see below), whose sum is σ = 166790624. Its totient is φ = 18693504.

The previous prime is 56096041. The next prime is 56096099. The reversal of 56096064 is 46069065.

It is a happy number.

56096064 is a `hidden beast` number, since 560 + 96 + 0 + 6 + 4 = 666.

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

It is a nialpdrome in base 6.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13749 + ... + 17355.

Almost surely, 256096064 is an apocalyptic number.

56096064 is a gapful number since it is divisible by the number (54) 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 56096064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83395312).

56096064 is an abundant number, since it is smaller than the sum of its proper divisors (110694560).

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

56096064 is an equidigital number, since it uses as much as digits as its factorization.

56096064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3634 (or 3612 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 56096064 is about 7489.7305692528. The cubic root of 56096064 is about 382.8048780346.

The spelling of 56096064 in words is "fifty-six million, ninety-six thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 243 288 324 432 486 576 648 864 972 1296 1728 1944 2592 3607 3888 5184 7214 7776 10821 14428 15552 21642 28856 32463 43284 57712 64926 86568 97389 115424 129852 173136 194778 230848 259704 292167 346272 389556 519408 584334 692544 779112 876501 1038816 1168668 1558224 1753002 2077632 2337336 3116448 3506004 4674672 6232896 7012008 9349344 14024016 18698688 28048032 56096064