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56646040 = 23511177573
BaseRepresentation
bin1101100000010…
…1100110011000
310221120220202111
43120011212120
5104000133130
65342042104
71255324543
oct330054630
9127526674
1056646040
1129a80010
1216b79334
13b974489
14774785a
154e8e02a
hex3605998

56646040 has 64 divisors (see below), whose sum is σ = 147238560. Its totient is φ = 19384320.

The previous prime is 56646017. The next prime is 56646041. The reversal of 56646040 is 4064665.

It is a junction number, because it is equal to n+sod(n) for n = 56645993 and 56646011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56646041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3694 + ... + 11266.

Almost surely, 256646040 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 56646040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73619280).

56646040 is an abundant number, since it is smaller than the sum of its proper divisors (90592520).

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

56646040 is a wasteful number, since it uses less digits than its factorization.

56646040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7612 (or 7608 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

The square root of 56646040 is about 7526.3563561660. The cubic root of 56646040 is about 384.0518412359.

The spelling of 56646040 in words is "fifty-six million, six hundred forty-six thousand, forty".

Divisors: 1 2 4 5 8 10 11 17 20 22 34 40 44 55 68 85 88 110 136 170 187 220 340 374 440 680 748 935 1496 1870 3740 7480 7573 15146 30292 37865 60584 75730 83303 128741 151460 166606 257482 302920 333212 416515 514964 643705 666424 833030 1029928 1287410 1416151 1666060 2574820 2832302 3332120 5149640 5664604 7080755 11329208 14161510 28323020 56646040