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56361460 = 22517473527
BaseRepresentation
bin1101011100000…
…0000111110100
310221001110101111
43113000013310
5103412031320
65332004404
71253031061
oct327000764
9127043344
1056361460
11298a6221
1216a60704
13b8a4a9c
1476b1c68
154e34a5a
hex35c01f4

56361460 has 48 divisors (see below), whose sum is σ = 128024064. Its totient is φ = 20761088.

The previous prime is 56361451. The next prime is 56361463. The reversal of 56361460 is 6416365.

It is a super-2 number, since 2×563614602 = 6353228346663200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56361463) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14217 + ... + 17743.

It is an arithmetic number, because the mean of its divisors is an integer number (2667168).

Almost surely, 256361460 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 56361460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64012032).

56361460 is an abundant number, since it is smaller than the sum of its proper divisors (71662604).

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

56361460 is a wasteful number, since it uses less digits than its factorization.

56361460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3600 (or 3598 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 31.

The square root of 56361460 is about 7507.4269893220. The cubic root of 56361460 is about 383.4076243326.

The spelling of 56361460 in words is "fifty-six million, three hundred sixty-one thousand, four hundred sixty".

Divisors: 1 2 4 5 10 17 20 34 47 68 85 94 170 188 235 340 470 799 940 1598 3196 3527 3995 7054 7990 14108 15980 17635 35270 59959 70540 119918 165769 239836 299795 331538 599590 663076 828845 1199180 1657690 2818073 3315380 5636146 11272292 14090365 28180730 56361460