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55589472 = 2532251769
BaseRepresentation
bin1101010000001…
…1101001100000
310212121020102100
43110003221200
5103212330342
65303250400
71243334301
oct324035140
9125536370
1055589472
1129419214
1216749a00
13b6945a3
1475507a8
154d30e4c
hex3503a60

55589472 has 72 divisors (see below), whose sum is σ = 158918760. Its totient is φ = 18432000.

The previous prime is 55589467. The next prime is 55589477. The reversal of 55589472 is 27498555.

55589472 is a `hidden beast` number, since 5 + 558 + 94 + 7 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (55589467) and next prime (55589477).

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55589477) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 71904 + ... + 72672.

It is an arithmetic number, because the mean of its divisors is an integer number (2207205).

Almost surely, 255589472 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 55589472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79459380).

55589472 is an abundant number, since it is smaller than the sum of its proper divisors (103329288).

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

55589472 is a wasteful number, since it uses less digits than its factorization.

55589472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1036 (or 1025 counting only the distinct ones).

The product of its digits is 504000, while the sum is 45.

The square root of 55589472 is about 7455.8347621175. The cubic root of 55589472 is about 381.6490476623.

The spelling of 55589472 in words is "fifty-five million, five hundred eighty-nine thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 251 288 502 753 769 1004 1506 1538 2008 2259 2307 3012 3076 4016 4518 4614 6024 6152 6921 8032 9036 9228 12048 12304 13842 18072 18456 24096 24608 27684 36144 36912 55368 72288 73824 110736 193019 221472 386038 579057 772076 1158114 1544152 1737171 2316228 3088304 3474342 4632456 6176608 6948684 9264912 13897368 18529824 27794736 55589472