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55601364 = 22371359863
BaseRepresentation
bin1101010000011…
…0100011010100
310212121211201210
43110012203110
5103213220424
65303421420
71243414050
oct324064324
9125554653
1055601364
1129427145
1216754870
13b699b20
147554c60
154d34729
hex35068d4

55601364 has 96 divisors (see below), whose sum is σ = 162570240. Its totient is φ = 14398848.

The previous prime is 55601363. The next prime is 55601387. The reversal of 55601364 is 46310655.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55601363) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 63997 + ... + 64859.

It is an arithmetic number, because the mean of its divisors is an integer number (1693440).

Almost surely, 255601364 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 55601364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81285120).

55601364 is an abundant number, since it is smaller than the sum of its proper divisors (106968876).

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

55601364 is a wasteful number, since it uses less digits than its factorization.

55601364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 949 (or 947 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 55601364 is about 7456.6322156856. The cubic root of 55601364 is about 381.6762605302.

The spelling of 55601364 in words is "fifty-five million, six hundred one thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 59 78 84 91 118 156 177 182 236 273 354 364 413 546 708 767 826 863 1092 1239 1534 1652 1726 2301 2478 2589 3068 3452 4602 4956 5178 5369 6041 9204 10356 10738 11219 12082 16107 18123 21476 22438 24164 32214 33657 36246 44876 50917 64428 67314 72492 78533 101834 134628 152751 157066 203668 235599 305502 314132 356419 471198 611004 661921 712838 942396 1069257 1323842 1425676 1985763 2138514 2647684 3971526 4277028 4633447 7943052 9266894 13900341 18533788 27800682 55601364