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55639296 = 2832193141
BaseRepresentation
bin1101010000111…
…1110100000000
310212200202202200
43110033310000
5103220424141
65304313200
71243632456
oct324176400
9125622680
1055639296
1129452699
1216772800
13b6b117b
1475649d6
154d40ab6
hex350fd00

55639296 has 216 divisors, whose sum is σ = 178563840. Its totient is φ = 16588800.

The previous prime is 55639253. The next prime is 55639303. The reversal of 55639296 is 69293655.

55639296 is a `hidden beast` number, since 5 + 5 + 639 + 2 + 9 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1357036 + ... + 1357076.

Almost surely, 255639296 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 55639296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89281920).

55639296 is an abundant number, since it is smaller than the sum of its proper divisors (122924544).

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

55639296 is a wasteful number, since it uses less digits than its factorization.

55639296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 96 counting only the distinct ones).

The product of its digits is 437400, while the sum is 45.

The square root of 55639296 is about 7459.1752895344. The cubic root of 55639296 is about 381.7630356967.

The spelling of 55639296 in words is "fifty-five million, six hundred thirty-nine thousand, two hundred ninety-six".