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55606064 = 2431711579
BaseRepresentation
bin1101010000011…
…1101100110000
310212122002011212
43110013230300
5103213343224
65303455252
71243433543
oct324075460
9125562155
1055606064
112942a728
1216757528
13b69bcc7
14755685a
154d35d0e
hex3507b30

55606064 has 40 divisors (see below), whose sum is σ = 112849920. Its totient is φ = 26510400.

The previous prime is 55606039. The next prime is 55606069. The reversal of 55606064 is 46060655.

It is a self number, because there is not a number n which added to its sum of digits gives 55606064.

It is not an unprimeable number, because it can be changed into a prime (55606069) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34427 + ... + 36005.

It is an arithmetic number, because the mean of its divisors is an integer number (2821248).

Almost surely, 255606064 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 55606064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56424960).

55606064 is an abundant number, since it is smaller than the sum of its proper divisors (57243856).

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

55606064 is a wasteful number, since it uses less digits than its factorization.

55606064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1689 (or 1683 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 32.

The square root of 55606064 is about 7456.9473647063. The cubic root of 55606064 is about 381.6870146302.

The spelling of 55606064 in words is "fifty-five million, six hundred six thousand, sixty-four".

Divisors: 1 2 4 8 16 31 62 71 124 142 248 284 496 568 1136 1579 2201 3158 4402 6316 8804 12632 17608 25264 35216 48949 97898 112109 195796 224218 391592 448436 783184 896872 1793744 3475379 6950758 13901516 27803032 55606064