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56397330 = 233511171117
BaseRepresentation
bin1101011100100…
…0111000010010
310221010021121000
43113020320102
5103414203310
65332442430
71253240463
oct327107022
9127107530
1056397330
1129920170
1216a79416
13b8b8202
1476c0d6a
154e404c0
hex35c8e12

56397330 has 128 divisors (see below), whose sum is σ = 173871360. Its totient is φ = 12856320.

The previous prime is 56397323. The next prime is 56397349. The reversal of 56397330 is 3379365.

56397330 is a `hidden beast` number, since 563 + 97 + 3 + 3 + 0 = 666.

It is a super-2 number, since 2×563973302 = 6361317662257800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 49932 + ... + 51048.

It is an arithmetic number, because the mean of its divisors is an integer number (1358370).

Almost surely, 256397330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56397330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86935680).

56397330 is an abundant number, since it is smaller than the sum of its proper divisors (117474030).

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

56397330 is a wasteful number, since it uses less digits than its factorization.

56397330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1161 (or 1155 counting only the distinct ones).

The product of its (nonzero) digits is 51030, while the sum is 36.

The square root of 56397330 is about 7509.8155769633. The cubic root of 56397330 is about 383.4889441740.

It can be divided in two parts, 56 and 397330, that added together give a triangular number (397386 = T891).

The spelling of 56397330 in words is "fifty-six million, three hundred ninety-seven thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 17 18 22 27 30 33 34 45 51 54 55 66 85 90 99 102 110 135 153 165 170 187 198 255 270 297 306 330 374 459 495 510 561 594 765 918 935 990 1117 1122 1485 1530 1683 1870 2234 2295 2805 2970 3351 3366 4590 5049 5585 5610 6702 8415 10053 10098 11170 12287 16755 16830 18989 20106 24574 25245 30159 33510 36861 37978 50265 50490 56967 60318 61435 73722 94945 100530 110583 113934 122870 150795 170901 184305 189890 208879 221166 284835 301590 331749 341802 368610 417758 512703 552915 569670 626637 663498 854505 1025406 1044395 1105830 1253274 1658745 1709010 1879911 2088790 2563515 3133185 3317490 3759822 5127030 5639733 6266370 9399555 11279466 18799110 28198665 56397330