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56946420 = 223251916651
BaseRepresentation
bin1101100100111…
…0111011110100
310222011011210200
43121032323310
5104034241140
65352320500
71261015356
oct331167364
9128134720
1056946420
112a165763
12170a3130
13ba4b10b
1477c50d6
154eed030
hex364eef4

56946420 has 72 divisors (see below), whose sum is σ = 181839840. Its totient is φ = 14385600.

The previous prime is 56946403. The next prime is 56946427. The reversal of 56946420 is 2464965.

56946420 is a `hidden beast` number, since 5 + 6 + 9 + 4 + 642 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56946427) 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, 4906 + ... + 11745.

Almost surely, 256946420 is an apocalyptic number.

It is an amenable number.

56946420 is an abundant number, since it is smaller than the sum of its proper divisors (124893420).

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

56946420 is a wasteful number, since it uses less digits than its factorization.

56946420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16685 (or 16680 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 56946420 is about 7546.2851788148. The cubic root of 56946420 is about 384.7294889554.

The spelling of 56946420 in words is "fifty-six million, nine hundred forty-six thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 228 285 342 380 570 684 855 1140 1710 3420 16651 33302 49953 66604 83255 99906 149859 166510 199812 249765 299718 316369 333020 499530 599436 632738 749295 949107 999060 1265476 1498590 1581845 1898214 2847321 2997180 3163690 3796428 4745535 5694642 6327380 9491070 11389284 14236605 18982140 28473210 56946420