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53556048 = 24327136167
BaseRepresentation
bin1100110001001…
…1001101010000
310201202221002100
43030103031100
5102202243143
65151520400
71220135040
oct314231520
9121687070
1053556048
112825a4a7
1215b29100
13b131b90
147181720
154a7d6d3
hex3313350

53556048 has 240 divisors, whose sum is σ = 190293376. Its totient is φ = 13685760.

The previous prime is 53556043. The next prime is 53556049. The reversal of 53556048 is 84065535.

53556048 is a `hidden beast` number, since 53 + 5 + 560 + 48 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53556043) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 799311 + ... + 799377.

Almost surely, 253556048 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 53556048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95146688).

53556048 is an abundant number, since it is smaller than the sum of its proper divisors (136737328).

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

53556048 is a wasteful number, since it uses less digits than its factorization.

53556048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 53556048 is about 7318.1997786341. The cubic root of 53556048 is about 376.9376402237.

The spelling of 53556048 in words is "fifty-three million, five hundred fifty-six thousand, forty-eight".