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56400162 = 23713531949
BaseRepresentation
bin1101011100100…
…1100100100010
310221010102110220
43113021210202
5103414301122
65332503510
71253251650
oct327114442
9127112426
1056400162
1129922305
1216a7ab96
13b8b95a0
1476c1dd0
154e4125c
hex35c9922

56400162 has 64 divisors (see below), whose sum is σ = 141523200. Its totient is φ = 14586624.

The previous prime is 56400137. The next prime is 56400167. The reversal of 56400162 is 26100465.

It is not an unprimeable number, because it can be changed into a prime (56400167) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27964 + ... + 29912.

It is an arithmetic number, because the mean of its divisors is an integer number (2211300).

Almost surely, 256400162 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56400162, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70761600).

56400162 is an abundant number, since it is smaller than the sum of its proper divisors (85123038).

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

56400162 is a wasteful number, since it uses less digits than its factorization.

56400162 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2027.

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 56400162 is about 7510.0041278284. The cubic root of 56400162 is about 383.4953630506.

The spelling of 56400162 in words is "fifty-six million, four hundred thousand, one hundred sixty-two".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 53 78 91 106 159 182 273 318 371 546 689 742 1113 1378 1949 2067 2226 3898 4134 4823 5847 9646 11694 13643 14469 25337 27286 28938 40929 50674 76011 81858 103297 152022 177359 206594 309891 354718 532077 619782 723079 1064154 1342861 1446158 2169237 2685722 4028583 4338474 8057166 9400027 18800054 28200081 56400162