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56941696 = 277103617
BaseRepresentation
bin1101100100110…
…1110010000000
310222010221022201
43121031302000
5104034113241
65352242544
71260665530
oct331156200
9128127281
1056941696
112a162159
12170a0454
13ba48c16
1477c34c0
154eeb931
hex364dc80

56941696 has 64 divisors (see below), whose sum is σ = 131114880. Its totient is φ = 24127488.

The previous prime is 56941693. The next prime is 56941697. The reversal of 56941696 is 69614965.

It is a tau number, because it is divible by the number of its divisors (64).

It is an alternating number because its digits alternate between odd and even.

Its product of digits (349920) is a multiple of the sum of its prime divisors (729).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56941693) 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 7 ways as a sum of consecutive naturals, for example, 91980 + ... + 92596.

It is an arithmetic number, because the mean of its divisors is an integer number (2048670).

Almost surely, 256941696 is an apocalyptic number.

56941696 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 56941696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65557440).

56941696 is an abundant number, since it is smaller than the sum of its proper divisors (74173184).

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

56941696 is a wasteful number, since it uses less digits than its factorization.

56941696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 741 (or 729 counting only the distinct ones).

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

The square root of 56941696 is about 7545.9721706351. The cubic root of 56941696 is about 384.7188502277.

The spelling of 56941696 in words is "fifty-six million, nine hundred forty-one thousand, six hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 103 112 128 206 224 412 448 617 721 824 896 1234 1442 1648 2468 2884 3296 4319 4936 5768 6592 8638 9872 11536 13184 17276 19744 23072 34552 39488 46144 63551 69104 78976 92288 127102 138208 254204 276416 444857 508408 552832 889714 1016816 1779428 2033632 3558856 4067264 7117712 8134528 14235424 28470848 56941696