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57755742 = 23113767353
BaseRepresentation
bin1101110001010…
…0100001011110
311000200021222120
43130110201132
5104241140432
65421523410
71300626042
oct334244136
9130607876
1057755742
112a668820
1217413566
13bc725c5
147956022
15510cc2c
hex371485e

57755742 has 64 divisors (see below), whose sum is σ = 131721984. Its totient is φ = 16727040.

The previous prime is 57755741. The next prime is 57755767. The reversal of 57755742 is 24755775.

57755742 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 57755694 and 57755703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57755741) 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 31 ways as a sum of consecutive naturals, for example, 163438 + ... + 163790.

It is an arithmetic number, because the mean of its divisors is an integer number (2058156).

Almost surely, 257755742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57755742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65860992).

57755742 is an abundant number, since it is smaller than the sum of its proper divisors (73966242).

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

57755742 is a wasteful number, since it uses less digits than its factorization.

57755742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473.

The product of its digits is 343000, while the sum is 42.

The square root of 57755742 is about 7599.7198632581. The cubic root of 57755742 is about 386.5435129331.

The spelling of 57755742 in words is "fifty-seven million, seven hundred fifty-five thousand, seven hundred forty-two".

Divisors: 1 2 3 6 11 22 33 37 66 67 74 111 134 201 222 353 402 407 706 737 814 1059 1221 1474 2118 2211 2442 2479 3883 4422 4958 7437 7766 11649 13061 14874 23298 23651 26122 27269 39183 47302 54538 70953 78366 81807 141906 143671 163614 260161 287342 431013 520322 780483 862026 875087 1560966 1750174 2625261 5250522 9625957 19251914 28877871 57755742