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56653744 = 2471979337
BaseRepresentation
bin1101100000011…
…1011110110000
310221121022022211
43120013132300
5104000404434
65342141504
71255356160
oct330073660
9127538284
1056653744
1129a85884
1216b81894
13b977b34
14774a5a0
154e91464
hex36077b0

56653744 has 80 divisors (see below), whose sum is σ = 134118400. Its totient is φ = 22643712.

The previous prime is 56653739. The next prime is 56653757. The reversal of 56653744 is 44735665.

56653744 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Its product of digits (302400) is a multiple of the sum of its prime factors (450).

It is a junction number, because it is equal to n+sod(n) for n = 56653697 and 56653706.

It is an unprimeable number.

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, 167944 + ... + 168280.

It is an arithmetic number, because the mean of its divisors is an integer number (1676480).

Almost surely, 256653744 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 56653744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67059200).

56653744 is an abundant number, since it is smaller than the sum of its proper divisors (77464656).

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

56653744 is a wasteful number, since it uses less digits than its factorization.

56653744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 444 counting only the distinct ones).

The product of its digits is 302400, while the sum is 40.

The square root of 56653744 is about 7526.8681402028. The cubic root of 56653744 is about 384.0692511099.

It can be divided in two parts, 5665 and 3744, that added together give a square (9409 = 972).

The spelling of 56653744 in words is "fifty-six million, six hundred fifty-three thousand, seven hundred forty-four".

Divisors: 1 2 4 7 8 14 16 19 28 38 56 76 79 112 133 152 158 266 304 316 337 532 553 632 674 1064 1106 1264 1348 1501 2128 2212 2359 2696 3002 4424 4718 5392 6004 6403 8848 9436 10507 12008 12806 18872 21014 24016 25612 26623 37744 42028 44821 51224 53246 84056 89642 102448 106492 168112 179284 186361 212984 358568 372722 425968 505837 717136 745444 1011674 1490888 2023348 2981776 3540859 4046696 7081718 8093392 14163436 28326872 56653744