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55538964 = 223213118673
BaseRepresentation
bin1101001111011…
…1010100010100
310212111200010200
43103313110110
5103204221324
65302220500
71243034115
oct323672424
9125450120
1055538964
1129394278
1216724730
13b6775c0
14753a20c
154d20ec9
hex34f7514

55538964 has 36 divisors (see below), whose sum is σ = 151190676. Its totient is φ = 17088768.

The previous prime is 55538963. The next prime is 55538971. The reversal of 55538964 is 46983555.

55538964 is a `hidden beast` number, since 5 + 553 + 8 + 96 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 33524100 + 22014864 = 5790^2 + 4692^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55538963) 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, 58869 + ... + 59804.

It is an arithmetic number, because the mean of its divisors is an integer number (4199741).

Almost surely, 255538964 is an apocalyptic number.

It is an amenable number.

55538964 is an abundant number, since it is smaller than the sum of its proper divisors (95651712).

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

55538964 is a wasteful number, since it uses less digits than its factorization.

55538964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118696 (or 118691 counting only the distinct ones).

The product of its digits is 648000, while the sum is 45.

The square root of 55538964 is about 7452.4468465062. The cubic root of 55538964 is about 381.5334252225.

The spelling of 55538964 in words is "fifty-five million, five hundred thirty-eight thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 118673 237346 356019 474692 712038 1068057 1424076 1542749 2136114 3085498 4272228 4628247 6170996 9256494 13884741 18512988 27769482 55538964