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57628752 = 2433138729
BaseRepresentation
bin1101101111010…
…1100001010000
311000102211210020
43123311201100
5104223110002
65415103440
71266556566
oct333654120
9130384706
1057628752
112a591375
1217371b80
13bc2986c
147921a36
1550d52bc
hex36f5850

57628752 has 40 divisors (see below), whose sum is σ = 153680640. Its totient is φ = 18589440.

The previous prime is 57628751. The next prime is 57628787. The reversal of 57628752 is 25782675.

57628752 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 (57628751) 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, 17877 + ... + 20852.

It is an arithmetic number, because the mean of its divisors is an integer number (3842016).

Almost surely, 257628752 is an apocalyptic number.

It is an amenable number.

57628752 is an abundant number, since it is smaller than the sum of its proper divisors (96051888).

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

57628752 is a wasteful number, since it uses less digits than its factorization.

57628752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38771 (or 38765 counting only the distinct ones).

The product of its digits is 235200, while the sum is 42.

The square root of 57628752 is about 7591.3603524006. The cubic root of 57628752 is about 386.2600018357.

The spelling of 57628752 in words is "fifty-seven million, six hundred twenty-eight thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 186 248 372 496 744 1488 38729 77458 116187 154916 232374 309832 464748 619664 929496 1200599 1858992 2401198 3601797 4802396 7203594 9604792 14407188 19209584 28814376 57628752