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57311232 = 21531153
BaseRepresentation
bin1101101010100…
…0000000000000
310222211201020020
43122220000000
5104132424412
65404213440
71264065066
oct332500000
9128751206
1057311232
112a394860
121723a280
13bb48194
14787c036
15507118c
hex36a8000

57311232 has 128 divisors (see below), whose sum is σ = 169866720. Its totient is φ = 17039360.

The previous prime is 57311207. The next prime is 57311237. The reversal of 57311232 is 23211375.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (57311237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1081318 + ... + 1081370.

Almost surely, 257311232 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 57311232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84933360).

57311232 is an abundant number, since it is smaller than the sum of its proper divisors (112555488).

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

57311232 is an equidigital number, since it uses as much as digits as its factorization.

57311232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 69 counting only the distinct ones).

The product of its digits is 1260, while the sum is 24.

The square root of 57311232 is about 7570.4182183021. The cubic root of 57311232 is about 385.5492963180.

The spelling of 57311232 in words is "fifty-seven million, three hundred eleven thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 53 64 66 88 96 106 128 132 159 176 192 212 256 264 318 352 384 424 512 528 583 636 704 768 848 1024 1056 1166 1272 1408 1536 1696 1749 2048 2112 2332 2544 2816 3072 3392 3498 4096 4224 4664 5088 5632 6144 6784 6996 8192 8448 9328 10176 11264 12288 13568 13992 16384 16896 18656 20352 22528 24576 27136 27984 32768 33792 37312 40704 45056 49152 54272 55968 67584 74624 81408 90112 98304 108544 111936 135168 149248 162816 180224 217088 223872 270336 298496 325632 360448 434176 447744 540672 596992 651264 868352 895488 1081344 1193984 1302528 1736704 1790976 2387968 2605056 3581952 4775936 5210112 7163904 9551872 14327808 19103744 28655616 57311232