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56728528 = 2419191977
BaseRepresentation
bin1101100001100…
…1101111010000
310221202002220121
43120121233100
5104010303103
65343520024
71256120203
oct330315720
9127662817
1056728528
112a026a8a
1216bb9014
13b9a2b9c
14776993a
154ea86bd
hex3619bd0

56728528 has 40 divisors (see below), whose sum is σ = 116421120. Its totient is φ = 26703360.

The previous prime is 56728523. The next prime is 56728531. The reversal of 56728528 is 82582765.

56728528 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56728523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57576 + ... + 58552.

It is an arithmetic number, because the mean of its divisors is an integer number (2910528).

Almost surely, 256728528 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 56728528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58210560).

56728528 is an abundant number, since it is smaller than the sum of its proper divisors (59692592).

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

56728528 is a wasteful number, since it uses less digits than its factorization.

56728528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1195 (or 1189 counting only the distinct ones).

The product of its digits is 268800, while the sum is 43.

The square root of 56728528 is about 7531.8343051344. The cubic root of 56728528 is about 384.2381696676.

The spelling of 56728528 in words is "fifty-six million, seven hundred twenty-eight thousand, five hundred twenty-eight".

Divisors: 1 2 4 8 16 19 38 76 152 191 304 382 764 977 1528 1954 3056 3629 3908 7258 7816 14516 15632 18563 29032 37126 58064 74252 148504 186607 297008 373214 746428 1492856 2985712 3545533 7091066 14182132 28364264 56728528