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57712144 = 2471721783
BaseRepresentation
bin1101110000100…
…1111000010000
311000121002011211
43130021320100
5104233242034
65420545504
71300354660
oct334117020
9130532154
1057712144
112a638a96
12173b2294
13bc587c9
1479441a0
1550eed64
hex3709e10

57712144 has 60 divisors (see below), whose sum is σ = 135826624. Its totient is φ = 23265792.

The previous prime is 57712043. The next prime is 57712153. The reversal of 57712144 is 44121775.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31477 + ... + 33259.

Almost surely, 257712144 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 57712144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67913312).

57712144 is an abundant number, since it is smaller than the sum of its proper divisors (78114480).

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

57712144 is a wasteful number, since it uses less digits than its factorization.

57712144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1832 (or 1809 counting only the distinct ones).

The product of its digits is 7840, while the sum is 31.

The square root of 57712144 is about 7596.8509265353. The cubic root of 57712144 is about 386.4462252537.

It can be divided in two parts, 577 and 12144, that added together give a palindrome (12721).

The spelling of 57712144 in words is "fifty-seven million, seven hundred twelve thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 17 28 34 56 68 112 119 136 238 272 289 476 578 952 1156 1783 1904 2023 2312 3566 4046 4624 7132 8092 12481 14264 16184 24962 28528 30311 32368 49924 60622 99848 121244 199696 212177 242488 424354 484976 515287 848708 1030574 1697416 2061148 3394832 3607009 4122296 7214018 8244592 14428036 28856072 57712144