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56295690 = 23511315503
BaseRepresentation
bin1101011011000…
…0000100001010
310220221010011120
43112300010022
5103402430230
65330340110
71252335243
oct326600412
9126833146
1056295690
1129860870
1216a2a636
13b880b79
147695cca
154e20310
hex35b010a

56295690 has 64 divisors (see below), whose sum is σ = 152174592. Its totient is φ = 13204800.

The previous prime is 56295677. The next prime is 56295703. The reversal of 56295690 is 9659265.

It is an interprime number because it is at equal distance from previous prime (56295677) and next prime (56295703).

It is a super-2 number, since 2×562956902 = 6338409425152200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7479 + ... + 12981.

It is an arithmetic number, because the mean of its divisors is an integer number (2377728).

Almost surely, 256295690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56295690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76087296).

56295690 is an abundant number, since it is smaller than the sum of its proper divisors (95878902).

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

56295690 is a wasteful number, since it uses less digits than its factorization.

56295690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5555.

The product of its (nonzero) digits is 145800, while the sum is 42.

The square root of 56295690 is about 7503.0453817100. The cubic root of 56295690 is about 383.2584293890.

The spelling of 56295690 in words is "fifty-six million, two hundred ninety-five thousand, six hundred ninety".

Divisors: 1 2 3 5 6 10 11 15 22 30 31 33 55 62 66 93 110 155 165 186 310 330 341 465 682 930 1023 1705 2046 3410 5115 5503 10230 11006 16509 27515 33018 55030 60533 82545 121066 165090 170593 181599 302665 341186 363198 511779 605330 852965 907995 1023558 1705930 1815990 1876523 2558895 3753046 5117790 5629569 9382615 11259138 18765230 28147845 56295690