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55601052 = 223131073331
BaseRepresentation
bin1101010000011…
…0011110011100
310212121211022020
43110012132130
5103213213202
65303420140
71243413123
oct324063634
9125554266
1055601052
1129426991
1216754650
13b699940
147554aba
154d345bc
hex350679c

55601052 has 48 divisors (see below), whose sum is σ = 141063552. Its totient is φ = 16943040.

The previous prime is 55601027. The next prime is 55601071. The reversal of 55601052 is 25010655.

55601052 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 15 ways as a sum of consecutive naturals, for example, 15027 + ... + 18357.

It is an arithmetic number, because the mean of its divisors is an integer number (2938824).

Almost surely, 255601052 is an apocalyptic number.

55601052 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55601052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70531776).

55601052 is an abundant number, since it is smaller than the sum of its proper divisors (85462500).

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

55601052 is a wasteful number, since it uses less digits than its factorization.

55601052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3458 (or 3456 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 24.

The square root of 55601052 is about 7456.6112946834. The cubic root of 55601052 is about 381.6755466196.

The spelling of 55601052 in words is "fifty-five million, six hundred one thousand, fifty-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 107 156 214 321 428 642 1284 1391 2782 3331 4173 5564 6662 8346 9993 13324 16692 19986 39972 43303 86606 129909 173212 259818 356417 519636 712834 1069251 1425668 2138502 4277004 4633421 9266842 13900263 18533684 27800526 55601052