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56552672 = 2511347463
BaseRepresentation
bin1101011110111…
…0110011100000
310221102011200102
43113232303200
5103434141142
65340041532
71254455411
oct327566340
9127364612
1056552672
1129a16950
1216b332a8
13b940b27
147721808
154e71532
hex35eece0

56552672 has 48 divisors (see below), whose sum is σ = 122072832. Its totient is φ = 25576320.

The previous prime is 56552669. The next prime is 56552681. The reversal of 56552672 is 27625565.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 121913 + ... + 122375.

It is an arithmetic number, because the mean of its divisors is an integer number (2543184).

Almost surely, 256552672 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 56552672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61036416).

56552672 is an abundant number, since it is smaller than the sum of its proper divisors (65520160).

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

56552672 is a wasteful number, since it uses less digits than its factorization.

56552672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 831 (or 823 counting only the distinct ones).

The product of its digits is 126000, while the sum is 38.

The square root of 56552672 is about 7520.1510623125. The cubic root of 56552672 is about 383.8407180830.

The spelling of 56552672 in words is "fifty-six million, five hundred fifty-two thousand, six hundred seventy-two".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 347 352 463 694 926 1388 1852 2776 3704 3817 5093 5552 7408 7634 10186 11104 14816 15268 20372 30536 40744 61072 81488 122144 160661 162976 321322 642644 1285288 1767271 2570576 3534542 5141152 7069084 14138168 28276336 56552672