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56956608 = 263410987
BaseRepresentation
bin1101100101000…
…1011011000000
310222011200210000
43121101123000
5104040102413
65352440000
71261060152
oct331213300
9128150700
1056956608
112a172385
12170a9000
13ba52947
1477c8ad2
155001073
hex36516c0

56956608 has 70 divisors (see below), whose sum is σ = 168852596. Its totient is φ = 18983808.

The previous prime is 56956607. The next prime is 56956637. The reversal of 56956608 is 80665965.

It is not an unprimeable number, because it can be changed into a prime (56956607) 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 9 ways as a sum of consecutive naturals, for example, 310 + ... + 10677.

Almost surely, 256956608 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 56956608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84426298).

56956608 is an abundant number, since it is smaller than the sum of its proper divisors (111895988).

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

56956608 is a wasteful number, since it uses less digits than its factorization.

56956608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11011 (or 10992 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The square root of 56956608 is about 7546.9601827491. The cubic root of 56956608 is about 384.7524309321.

The spelling of 56956608 in words is "fifty-six million, nine hundred fifty-six thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2592 5184 10987 21974 32961 43948 65922 87896 98883 131844 175792 197766 263688 296649 351584 395532 527376 593298 703168 791064 889947 1054752 1186596 1582128 1779894 2109504 2373192 3164256 3559788 4746384 6328512 7119576 9492768 14239152 18985536 28478304 56956608