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56357370 = 2345411697
BaseRepresentation
bin1101011011111…
…1000111111010
310221001020210000
43112333013322
5103411413440
65331533430
71253013126
oct326770772
9127036700
1056357370
11298a3143
1216a5a276
13b8a2c74
1476b0586
154e33730
hex35bf1fa

56357370 has 80 divisors (see below), whose sum is σ = 155326248. Its totient is φ = 14653440.

The previous prime is 56357359. The next prime is 56357417. The reversal of 56357370 is 7375365.

It can be written as a sum of positive squares in 4 ways, for example, as 45684081 + 10673289 = 6759^2 + 3267^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 32362 + ... + 34058.

Almost surely, 256357370 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56357370, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77663124).

56357370 is an abundant number, since it is smaller than the sum of its proper divisors (98968878).

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

56357370 is a wasteful number, since it uses less digits than its factorization.

56357370 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1757 (or 1748 counting only the distinct ones).

The product of its (nonzero) digits is 66150, while the sum is 36.

The square root of 56357370 is about 7507.1545874586. The cubic root of 56357370 is about 383.3983498206.

The spelling of 56357370 in words is "fifty-six million, three hundred fifty-seven thousand, three hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 41 45 54 81 82 90 123 135 162 205 246 270 369 405 410 615 738 810 1107 1230 1697 1845 2214 3321 3394 3690 5091 5535 6642 8485 10182 11070 15273 16605 16970 25455 30546 33210 45819 50910 69577 76365 91638 137457 139154 152730 208731 229095 274914 347885 417462 458190 626193 687285 695770 1043655 1252386 1374570 1878579 2087310 3130965 3757158 5635737 6261930 9392895 11271474 18785790 28178685 56357370