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57141312 = 263359829
BaseRepresentation
bin1101100111111…
…0100001000000
310222112002010220
43121332201000
5104112010222
65400423040
71262456514
oct331764100
9128462126
1057141312
112a289128
1217177a80
13bab8a37
147836144
15503ab5c
hex367e840

57141312 has 56 divisors (see below), whose sum is σ = 151790400. Its totient is φ = 18971136.

The previous prime is 57141311. The next prime is 57141319. The reversal of 57141312 is 21314175.

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 (57141311) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 68514 + ... + 69342.

Almost surely, 257141312 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 57141312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75895200).

57141312 is an abundant number, since it is smaller than the sum of its proper divisors (94649088).

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

57141312 is a wasteful number, since it uses less digits than its factorization.

57141312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1203 (or 1193 counting only the distinct ones).

The product of its digits is 840, while the sum is 24.

The square root of 57141312 is about 7559.1872579002. The cubic root of 57141312 is about 385.1678854017.

Adding to 57141312 its reverse (21314175), we get a palindrome (78455487).

The spelling of 57141312 in words is "fifty-seven million, one hundred forty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 359 718 829 1077 1436 1658 2154 2487 2872 3316 4308 4974 5744 6632 8616 9948 11488 13264 17232 19896 22976 26528 34464 39792 53056 68928 79584 159168 297611 595222 892833 1190444 1785666 2380888 3571332 4761776 7142664 9523552 14285328 19047104 28570656 57141312