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56486016 = 273249033
BaseRepresentation
bin1101011101111…
…0100010000000
310221021210020200
43113132202000
5103430023031
65334405200
71254060156
oct327364200
9127253220
1056486016
1129980864
1216b00800
13b9196a2
1477053d6
154e5b8e6
hex35de880

56486016 has 48 divisors (see below), whose sum is σ = 162547710. Its totient is φ = 18828288.

The previous prime is 56486011. The next prime is 56486029. The reversal of 56486016 is 61068465.

56486016 is a `hidden beast` number, since 5 + 6 + 48 + 601 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 53582400 + 2903616 = 7320^2 + 1704^2 .

It is a tau number, because it is divible by the number of its divisors (48).

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

It is not an unprimeable number, because it can be changed into a prime (56486011) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 23365 + ... + 25668.

Almost surely, 256486016 is an apocalyptic number.

It is an amenable number.

56486016 is an abundant number, since it is smaller than the sum of its proper divisors (106061694).

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

56486016 is a wasteful number, since it uses less digits than its factorization.

56486016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49053 (or 49038 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 56486016 is about 7515.7179297789. The cubic root of 56486016 is about 383.6898537375.

It can be divided in two parts, 5648 and 6016, that added together give a square (11664 = 1082).

The spelling of 56486016 in words is "fifty-six million, four hundred eighty-six thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 49033 98066 147099 196132 294198 392264 441297 588396 784528 882594 1176792 1569056 1765188 2353584 3138112 3530376 4707168 6276224 7060752 9414336 14121504 18828672 28243008 56486016