Search a number
-
+
56431908 = 2232131741173
BaseRepresentation
bin1101011101000…
…1010100100100
310221012001000200
43113101110210
5103421310113
65333310500
71253443341
oct327212444
9127161020
1056431908
1129944145
1216a95430
13b8cab80
1476cd7c8
154e4a873
hex35d1524

56431908 has 144 divisors (see below), whose sum is σ = 167587056. Its totient is φ = 15851520.

The previous prime is 56431877. The next prime is 56431927. The reversal of 56431908 is 80913465.

56431908 is a `hidden beast` number, since 5 + 643 + 1 + 9 + 0 + 8 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 451584 + 55980324 = 672^2 + 7482^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 326110 + ... + 326282.

It is an arithmetic number, because the mean of its divisors is an integer number (1163799).

Almost surely, 256431908 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 56431908, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83793528).

56431908 is an abundant number, since it is smaller than the sum of its proper divisors (111155148).

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

56431908 is a wasteful number, since it uses less digits than its factorization.

56431908 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 56431908 is about 7512.1174112230. The cubic root of 56431908 is about 383.5673023256.

The spelling of 56431908 in words is "fifty-six million, four hundred thirty-one thousand, nine hundred eight".

Divisors: 1 2 3 4 6 9 12 13 17 18 26 34 36 39 41 51 52 68 78 82 102 117 123 153 156 164 173 204 221 234 246 306 346 369 442 468 492 519 533 612 663 692 697 738 884 1038 1066 1326 1394 1476 1557 1599 1989 2076 2091 2132 2249 2652 2788 2941 3114 3198 3978 4182 4498 4797 5882 6228 6273 6396 6747 7093 7956 8364 8823 8996 9061 9594 11764 12546 13494 14186 17646 18122 19188 20241 21279 25092 26469 26988 27183 28372 35292 36244 38233 40482 42558 52938 54366 63837 76466 80964 81549 85116 92209 105876 108732 114699 120581 127674 152932 163098 184418 229398 241162 255348 276627 326196 344097 361743 368836 458796 482324 553254 688194 723486 829881 1085229 1106508 1376388 1446972 1567553 1659762 2170458 3135106 3319524 4340916 4702659 6270212 9405318 14107977 18810636 28215954 56431908