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55362528 = 2534133153
BaseRepresentation
bin1101001100110…
…0001111100000
310212011201010000
43103030033200
5103133100103
65254340000
71241400534
oct323141740
9125151100
1055362528
1129283761
121665a600
13b6151c0
1474d1bc4
154cd8aa3
hex34cc3e0

55362528 has 240 divisors, whose sum is σ = 184415616. Its totient is φ = 16174080.

The previous prime is 55362521. The next prime is 55362551. The reversal of 55362528 is 82526355.

It is a happy number.

55362528 is a `hidden beast` number, since 5 + 5 + 3 + 625 + 28 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 55362492 and 55362501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55362521) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1044550 + ... + 1044602.

Almost surely, 255362528 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 55362528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92207808).

55362528 is an abundant number, since it is smaller than the sum of its proper divisors (129053088).

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

55362528 is a wasteful number, since it uses less digits than its factorization.

55362528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 102 counting only the distinct ones).

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

The square root of 55362528 is about 7440.5999758084. The cubic root of 55362528 is about 381.1289785904.

The spelling of 55362528 in words is "fifty-five million, three hundred sixty-two thousand, five hundred twenty-eight".