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56402892 = 22347131913
BaseRepresentation
bin1101011100101…
…0001111001100
310221010120020000
43113022033030
5103414343032
65332524300
71253262630
oct327121714
9127116200
1056402892
1129924367
1216a80690
13b8ba8c0
1476c2dc0
154e41e7c
hex35ca3cc

56402892 has 120 divisors (see below), whose sum is σ = 181569696. Its totient is φ = 14867712.

The previous prime is 56402891. The next prime is 56402909. The reversal of 56402892 is 29820465.

It is a happy number.

56402892 is a `hidden beast` number, since 5 + 640 + 2 + 8 + 9 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (56402891) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 28528 + ... + 30440.

Almost surely, 256402892 is an apocalyptic number.

56402892 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56402892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90784848).

56402892 is an abundant number, since it is smaller than the sum of its proper divisors (125166804).

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

56402892 is a wasteful number, since it uses less digits than its factorization.

56402892 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1949 (or 1938 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 56402892 is about 7510.1858831856. The cubic root of 56402892 is about 383.5015505355.

The spelling of 56402892 in words is "fifty-six million, four hundred two thousand, eight hundred ninety-two".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 27 28 36 39 42 52 54 63 78 81 84 91 108 117 126 156 162 182 189 234 252 273 324 351 364 378 468 546 567 702 756 819 1053 1092 1134 1404 1638 1913 2106 2268 2457 3276 3826 4212 4914 5739 7371 7652 9828 11478 13391 14742 17217 22956 24869 26782 29484 34434 40173 49738 51651 53564 68868 74607 80346 99476 103302 120519 149214 154953 160692 174083 206604 223821 241038 298428 309906 348166 361557 447642 482076 522249 619812 671463 696332 723114 895284 1044498 1084671 1342926 1446228 1566747 2014389 2088996 2169342 2685852 3133494 4028778 4338684 4700241 6266988 8057556 9400482 14100723 18800964 28201446 56402892