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56415940 = 225719127167
BaseRepresentation
bin1101011100110…
…1011011000100
310221011020010021
43113031123010
5103420302230
65333104524
71253345650
oct327153304
9127136107
1056415940
1129933149
1216a88144
13b8c3819
1476c7a60
154e45c7a
hex35cd6c4

56415940 has 96 divisors (see below), whose sum is σ = 144506880. Its totient is φ = 18071424.

The previous prime is 56415929. The next prime is 56415949. The reversal of 56415940 is 4951465.

It is a junction number, because it is equal to n+sod(n) for n = 56415896 and 56415905.

It is not an unprimeable number, because it can be changed into a prime (56415949) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 337737 + ... + 337903.

It is an arithmetic number, because the mean of its divisors is an integer number (1505280).

Almost surely, 256415940 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 56415940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72253440).

56415940 is an abundant number, since it is smaller than the sum of its proper divisors (88090940).

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

56415940 is a wasteful number, since it uses less digits than its factorization.

56415940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 34.

The square root of 56415940 is about 7511.0545198394. The cubic root of 56415940 is about 383.5311207829.

The spelling of 56415940 in words is "fifty-six million, four hundred fifteen thousand, nine hundred forty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 70 76 95 127 133 140 167 190 254 266 334 380 508 532 635 665 668 835 889 1169 1270 1330 1670 1778 2338 2413 2540 2660 3173 3340 3556 4445 4676 4826 5845 6346 8890 9652 11690 12065 12692 15865 16891 17780 21209 22211 23380 24130 31730 33782 42418 44422 48260 63460 67564 84455 84836 88844 106045 111055 148463 168910 212090 222110 296926 337820 402971 424180 444220 593852 742315 805942 1484630 1611884 2014855 2820797 2969260 4029710 5641594 8059420 11283188 14103985 28207970 56415940