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55395648 = 26327111249
BaseRepresentation
bin1101001101010…
…0010101000000
310212020101112200
43103110111000
5103140130043
65255153200
71241566230
oct323242500
9125211480
1055395648
11292a6630
1216675800
13b6272b9
1474ddcc0
154ce37d3
hex34d4540

55395648 has 168 divisors, whose sum is σ = 198120000. Its totient is φ = 14376960.

The previous prime is 55395619. The next prime is 55395649. The reversal of 55395648 is 84659355.

55395648 is a `hidden beast` number, since 55 + 39 + 564 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55395649) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43728 + ... + 44976.

Almost surely, 255395648 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 55395648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99060000).

55395648 is an abundant number, since it is smaller than the sum of its proper divisors (142724352).

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

55395648 is a wasteful number, since it uses less digits than its factorization.

55395648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1285 (or 1272 counting only the distinct ones).

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

The square root of 55395648 is about 7442.8252700168. The cubic root of 55395648 is about 381.2049654590.

The spelling of 55395648 in words is "fifty-five million, three hundred ninety-five thousand, six hundred forty-eight".