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56374794 = 2327323397
BaseRepresentation
bin1101011100001…
…1011000001010
310221002010200100
43113003120022
5103412443134
65332150230
71253115000
oct327033012
9127063610
1056374794
1129905243
1216a68376
13b8aab88
1476b6a70
154e38999
hex35c360a

56374794 has 96 divisors (see below), whose sum is σ = 149011200. Its totient is φ = 15367968.

The previous prime is 56374777. The next prime is 56374807. The reversal of 56374794 is 49747365.

56374794 is a `hidden beast` number, since 5 + 637 + 4 + 7 + 9 + 4 = 666.

Its product of digits (635040) is a multiple of the sum of its prime divisors (432).

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, 141804 + ... + 142200.

It is an arithmetic number, because the mean of its divisors is an integer number (1552200).

Almost surely, 256374794 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56374794, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74505600).

56374794 is an abundant number, since it is smaller than the sum of its proper divisors (92636406).

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

56374794 is a wasteful number, since it uses less digits than its factorization.

56374794 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449 (or 432 counting only the distinct ones).

The product of its digits is 635040, while the sum is 45.

The square root of 56374794 is about 7508.3149907286. The cubic root of 56374794 is about 383.4378574870.

It can be divided in two parts, 563 and 74794, that added together give a palindrome (75357).

The spelling of 56374794 in words is "fifty-six million, three hundred seventy-four thousand, seven hundred ninety-four".

Divisors: 1 2 3 6 7 9 14 18 21 23 42 46 49 63 69 98 126 138 147 161 207 294 322 343 397 414 441 483 686 794 882 966 1029 1127 1191 1449 2058 2254 2382 2779 2898 3087 3381 3573 5558 6174 6762 7146 7889 8337 9131 10143 15778 16674 18262 19453 20286 23667 25011 27393 38906 47334 50022 54786 58359 63917 71001 82179 116718 127834 136171 142002 164358 175077 191751 272342 350154 383502 408513 447419 575253 817026 894838 1150506 1225539 1342257 2451078 2684514 3131933 4026771 6263866 8053542 9395799 18791598 28187397 56374794