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56963376 = 24321073697
BaseRepresentation
bin1101100101001…
…1000100110000
310222012001001200
43121103010300
5104040312001
65352531200
71261115661
oct331230460
9128161050
1056963376
112a177478
12170b0b00
13ba55a52
1477cb368
155003086
hex3653130

56963376 has 60 divisors (see below), whose sum is σ = 160951752. Its totient is φ = 18805248.

The previous prime is 56963369. The next prime is 56963377. The reversal of 56963376 is 67336965.

56963376 is a `hidden beast` number, since 5 + 6 + 9 + 633 + 7 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (56963377) 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 11 ways as a sum of consecutive naturals, for example, 13560 + ... + 17256.

Almost surely, 256963376 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 56963376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80475876).

56963376 is an abundant number, since it is smaller than the sum of its proper divisors (103988376).

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

56963376 is a wasteful number, since it uses less digits than its factorization.

56963376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3818 (or 3809 counting only the distinct ones).

The product of its digits is 612360, while the sum is 45.

The square root of 56963376 is about 7547.4085618840. The cubic root of 56963376 is about 384.7676700261.

The spelling of 56963376 in words is "fifty-six million, nine hundred sixty-three thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 107 144 214 321 428 642 856 963 1284 1712 1926 2568 3697 3852 5136 7394 7704 11091 14788 15408 22182 29576 33273 44364 59152 66546 88728 133092 177456 266184 395579 532368 791158 1186737 1582316 2373474 3164632 3560211 4746948 6329264 7120422 9493896 14240844 18987792 28481688 56963376