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56424774 = 23723141151
BaseRepresentation
bin1101011100111…
…1100101000110
310221011200020110
43113033211012
5103421043044
65333213450
71253413500
oct327174506
9127150213
1056424774
112993984a
1216a91286
13b8c7853
1476cad70
154e486b9
hex35cf946

56424774 has 96 divisors (see below), whose sum is σ = 139732992. Its totient is φ = 15120000.

The previous prime is 56424689. The next prime is 56424779. The reversal of 56424774 is 47742465.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56424779) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 373599 + ... + 373749.

It is an arithmetic number, because the mean of its divisors is an integer number (1455552).

Almost surely, 256424774 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56424774, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69866496).

56424774 is an abundant number, since it is smaller than the sum of its proper divisors (83308218).

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

56424774 is a wasteful number, since it uses less digits than its factorization.

56424774 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 235 counting only the distinct ones).

The product of its digits is 188160, while the sum is 39.

The square root of 56424774 is about 7511.6425633812. The cubic root of 56424774 is about 383.5511383943.

The spelling of 56424774 in words is "fifty-six million, four hundred twenty-four thousand, seven hundred seventy-four".

Divisors: 1 2 3 6 7 14 21 31 41 42 49 62 82 93 98 123 147 151 186 217 246 287 294 302 434 453 574 651 861 906 1057 1271 1302 1519 1722 2009 2114 2542 3038 3171 3813 4018 4557 4681 6027 6191 6342 7399 7626 8897 9114 9362 12054 12382 14043 14798 17794 18573 22197 26691 28086 32767 37146 43337 44394 53382 62279 65534 86674 98301 124558 130011 186837 191921 196602 229369 260022 303359 373674 383842 458738 575763 606718 688107 910077 1151526 1343447 1376214 1820154 2686894 4030341 8060682 9404129 18808258 28212387 56424774