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56871936 = 2103311217
BaseRepresentation
bin1101100011110…
…0110000000000
310222000101122000
43120330300000
5104024400221
65350544000
71260255252
oct330746000
9128011560
1056871936
112a114800
1217068000
13ba23244
1477a5cd2
154ed5e26
hex363cc00

56871936 has 264 divisors, whose sum is σ = 196020720. Its totient is φ = 16220160.

The previous prime is 56871931. The next prime is 56871937. The reversal of 56871936 is 63917865.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (264).

It is a junction number, because it is equal to n+sod(n) for n = 56871891 and 56871900.

It is not an unprimeable number, because it can be changed into a prime (56871931) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3345400 + ... + 3345416.

Almost surely, 256871936 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 56871936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98010360).

56871936 is an abundant number, since it is smaller than the sum of its proper divisors (139148784).

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

56871936 is a wasteful number, since it uses less digits than its factorization.

56871936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 33 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The square root of 56871936 is about 7541.3484205412. The cubic root of 56871936 is about 384.5616780312.

The spelling of 56871936 in words is "fifty-six million, eight hundred seventy-one thousand, nine hundred thirty-six".