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57367072 = 257475449
BaseRepresentation
bin1101101011010…
…1101000100000
310222221112211101
43122311220200
5104141221242
65405324144
71264416640
oct332655040
9128845741
1057367072
112a422804
1217266654
13bb67719
147894520
1550829b7
hex36b5a20

57367072 has 48 divisors (see below), whose sum is σ = 131846400. Its totient is φ = 24058368.

The previous prime is 57367069. The next prime is 57367073. The reversal of 57367072 is 27076375.

It is not an unprimeable number, because it can be changed into a prime (57367073) 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, 7804 + ... + 13252.

It is an arithmetic number, because the mean of its divisors is an integer number (2746800).

Almost surely, 257367072 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 57367072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65923200).

57367072 is an abundant number, since it is smaller than the sum of its proper divisors (74479328).

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

57367072 is a wasteful number, since it uses less digits than its factorization.

57367072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5513 (or 5505 counting only the distinct ones).

The product of its (nonzero) digits is 61740, while the sum is 37.

The square root of 57367072 is about 7574.1053597108. The cubic root of 57367072 is about 385.6744729696.

The spelling of 57367072 in words is "fifty-seven million, three hundred sixty-seven thousand, seventy-two".

Divisors: 1 2 4 7 8 14 16 28 32 47 56 94 112 188 224 329 376 658 752 1316 1504 2632 5264 5449 10528 10898 21796 38143 43592 76286 87184 152572 174368 256103 305144 512206 610288 1024412 1220576 1792721 2048824 3585442 4097648 7170884 8195296 14341768 28683536 57367072