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56426040 = 233251114249
BaseRepresentation
bin1101011100111…
…1111000111000
310221011201222100
43113033320320
5103421113130
65333223400
71253420256
oct327177070
9127151870
1056426040
112993a7a0
1216a91b60
13b8c82b8
1476cb5d6
154e48c60
hex35cfe38

56426040 has 96 divisors (see below), whose sum is σ = 200070000. Its totient is φ = 13678080.

The previous prime is 56426033. The next prime is 56426047. The reversal of 56426040 is 4062465.

It is a happy number.

56426040 is a `hidden beast` number, since 56 + 4 + 2 + 604 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (56426033) and next prime (56426047).

It is a junction number, because it is equal to n+sod(n) for n = 56425995 and 56426013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56426047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3165 + ... + 11084.

Almost surely, 256426040 is an apocalyptic number.

It is an amenable number.

56426040 is an abundant number, since it is smaller than the sum of its proper divisors (143643960).

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

56426040 is a wasteful number, since it uses less digits than its factorization.

56426040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14277 (or 14270 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 56426040 is about 7511.7268320939. The cubic root of 56426040 is about 383.5540069458.

The spelling of 56426040 in words is "fifty-six million, four hundred twenty-six thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 30 33 36 40 44 45 55 60 66 72 88 90 99 110 120 132 165 180 198 220 264 330 360 396 440 495 660 792 990 1320 1980 3960 14249 28498 42747 56996 71245 85494 113992 128241 142490 156739 170988 213735 256482 284980 313478 341976 427470 470217 512964 569960 626956 641205 783695 854940 940434 1025928 1253912 1282410 1410651 1567390 1709880 1880868 2351085 2564820 2821302 3134780 3761736 4702170 5129640 5642604 6269560 7053255 9404340 11285208 14106510 18808680 28213020 56426040