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56374736 = 2411596189
BaseRepresentation
bin1101011100001…
…1010111010000
310221002010121012
43113003113100
5103412442421
65332150052
71253114555
oct327032720
9127063535
1056374736
11299051a0
1216a68328
13b8aab42
1476b6a2c
154e3895b
hex35c35d0

56374736 has 80 divisors (see below), whose sum is σ = 124545600. Its totient is φ = 24499200.

The previous prime is 56374733. The next prime is 56374739. The reversal of 56374736 is 63747365.

56374736 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (56374733) and next prime (56374739).

It is a super-2 number, since 2×563747362 = 6356221718139392, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 56374693 and 56374702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56374733) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 633380 + ... + 633468.

It is an arithmetic number, because the mean of its divisors is an integer number (1556820).

Almost surely, 256374736 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 56374736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62272800).

56374736 is an abundant number, since it is smaller than the sum of its proper divisors (68170864).

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

56374736 is a wasteful number, since it uses less digits than its factorization.

56374736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 222 counting only the distinct ones).

The product of its digits is 317520, while the sum is 41.

The square root of 56374736 is about 7508.3111283430. The cubic root of 56374736 is about 383.4377259896.

The spelling of 56374736 in words is "fifty-six million, three hundred seventy-four thousand, seven hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 44 59 61 88 89 118 122 176 178 236 244 356 472 488 649 671 712 944 976 979 1298 1342 1424 1958 2596 2684 3599 3916 5192 5251 5368 5429 7198 7832 10384 10502 10736 10858 14396 15664 21004 21716 28792 39589 42008 43432 57584 57761 59719 79178 84016 86864 115522 119438 158356 231044 238876 316712 320311 462088 477752 633424 640622 924176 955504 1281244 2562488 3523421 5124976 7046842 14093684 28187368 56374736