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55643760 = 2434531277
BaseRepresentation
bin1101010001000…
…0111001110000
310212200222220000
43110100321300
5103221100020
65304350000
71243651464
oct324207160
9125628800
1055643760
1129455a87
1216775300
13b6b3203
1475664a4
154d42090
hex3510e70

55643760 has 200 divisors, whose sum is σ = 200213376. Its totient is φ = 14307840.

The previous prime is 55643747. The next prime is 55643801. The reversal of 55643760 is 6734655.

55643760 is a `hidden beast` number, since 5 + 5 + 643 + 7 + 6 + 0 = 666.

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 (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 200742 + ... + 201018.

Almost surely, 255643760 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 55643760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100106688).

55643760 is an abundant number, since it is smaller than the sum of its proper divisors (144569616).

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

55643760 is a wasteful number, since it uses less digits than its factorization.

55643760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 55643760 is about 7459.4745123232. The cubic root of 55643760 is about 381.7732451754.

The spelling of 55643760 in words is "fifty-five million, six hundred forty-three thousand, seven hundred sixty".