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55372680 = 23335115979
BaseRepresentation
bin1101001100111…
…0101110001000
310212012020001000
43103032232020
5103133411210
65254455000
71241442246
oct323165610
9125166030
1055372680
1129290350
1216664460
13b6199cc
1474d5796
154cdbac0
hex34ceb88

55372680 has 256 divisors, whose sum is σ = 207360000. Its totient is φ = 13029120.

The previous prime is 55372679. The next prime is 55372693. The reversal of 55372680 is 8627355.

55372680 is a `hidden beast` number, since 553 + 7 + 26 + 80 = 666.

55372680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×553726802 = 6132267380764800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 700881 + ... + 700959.

It is an arithmetic number, because the mean of its divisors is an integer number (810000).

Almost surely, 255372680 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 55372680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103680000).

55372680 is an abundant number, since it is smaller than the sum of its proper divisors (151987320).

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

55372680 is a wasteful number, since it uses less digits than its factorization.

55372680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 55372680 is about 7441.2821475872. The cubic root of 55372680 is about 381.1522734378.

The spelling of 55372680 in words is "fifty-five million, three hundred seventy-two thousand, six hundred eighty".