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54980352 = 283272487
BaseRepresentation
bin1101000110111…
…0111100000000
310211110021212100
43101232330000
5103033332402
65242230400
71235216400
oct321567400
9124407770
1054980352
1129042609
12164b5400
13b51026b
147432800
154c6071c
hex346ef00

54980352 has 162 divisors, whose sum is σ = 184781688. Its totient is φ = 15676416.

The previous prime is 54980351. The next prime is 54980353. The reversal of 54980352 is 25308945.

54980352 is a `hidden beast` number, since 549 + 80 + 35 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (54980351) and next prime (54980353).

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 (54980351) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 112653 + ... + 113139.

Almost surely, 254980352 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 54980352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92390844).

54980352 is an abundant number, since it is smaller than the sum of its proper divisors (129801336).

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

54980352 is a wasteful number, since it uses less digits than its factorization.

54980352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 523 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 54980352 is about 7414.8737008799. The cubic root of 54980352 is about 380.2499555856.

The spelling of 54980352 in words is "fifty-four million, nine hundred eighty thousand, three hundred fifty-two".