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56546046 = 23317311987
BaseRepresentation
bin1101011110110…
…1001011111110
310221101211121000
43113231023332
5103433433141
65335551130
71254430164
oct327551376
9127354530
1056546046
1129a11977
1216b2b4a6
13b93aacb
14771d234
154e6e5b6
hex35ed2fe

56546046 has 64 divisors (see below), whose sum is σ = 137410560. Its totient is φ = 17159040.

The previous prime is 56546003. The next prime is 56546051. The reversal of 56546046 is 64064565.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 56546046.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27465 + ... + 29451.

It is an arithmetic number, because the mean of its divisors is an integer number (2147040).

Almost surely, 256546046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56546046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68705280).

56546046 is an abundant number, since it is smaller than the sum of its proper divisors (80864514).

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

56546046 is a wasteful number, since it uses less digits than its factorization.

56546046 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2046 (or 2040 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 56546046 is about 7519.7104997466. The cubic root of 56546046 is about 383.8257265843.

The spelling of 56546046 in words is "fifty-six million, five hundred forty-six thousand, forty-six".

Divisors: 1 2 3 6 9 17 18 27 31 34 51 54 62 93 102 153 186 279 306 459 527 558 837 918 1054 1581 1674 1987 3162 3974 4743 5961 9486 11922 14229 17883 28458 33779 35766 53649 61597 67558 101337 107298 123194 184791 202674 304011 369582 554373 608022 912033 1047149 1108746 1663119 1824066 2094298 3141447 3326238 6282894 9424341 18848682 28273023 56546046