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55812564 = 22341710133
BaseRepresentation
bin1101010011101…
…0000111010100
310220000120110000
43110322013110
5103242000224
65312131300
71245253563
oct324720724
9126016400
1055812564
1129560895
1216836b30
13b741cb2
1475abbda
154d770c9
hex353a1d4

55812564 has 60 divisors (see below), whose sum is σ = 154502964. Its totient is φ = 17508096.

The previous prime is 55812529. The next prime is 55812583. The reversal of 55812564 is 46521855.

55812564 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 44116164 + 11696400 = 6642^2 + 3420^2 .

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 19 ways as a sum of consecutive naturals, for example, 442 + ... + 10574.

Almost surely, 255812564 is an apocalyptic number.

55812564 is a gapful number since it is divisible by the number (54) 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 55812564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77251482).

55812564 is an abundant number, since it is smaller than the sum of its proper divisors (98690400).

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

55812564 is a wasteful number, since it uses less digits than its factorization.

55812564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10166 (or 10155 counting only the distinct ones).

The product of its digits is 48000, while the sum is 36.

The square root of 55812564 is about 7470.7806820974. The cubic root of 55812564 is about 382.1589116165.

The spelling of 55812564 in words is "fifty-five million, eight hundred twelve thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 81 102 108 153 162 204 306 324 459 612 918 1377 1836 2754 5508 10133 20266 30399 40532 60798 91197 121596 172261 182394 273591 344522 364788 516783 547182 689044 820773 1033566 1094364 1550349 1641546 2067132 3100698 3283092 4651047 6201396 9302094 13953141 18604188 27906282 55812564