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57357468 = 22327227609
BaseRepresentation
bin1101101011001…
…1010010011100
310222221001122200
43122303102130
5104140414333
65405211500
71264346640
oct332632234
9128831580
1057357468
112a416573
1217260b90
13bb6323c
147890c20
15507ec13
hex36b349c

57357468 has 36 divisors (see below), whose sum is σ = 165700080. Its totient is φ = 16387776.

The previous prime is 57357467. The next prime is 57357493. The reversal of 57357468 is 86475375.

57357468 is a `hidden beast` number, since 5 + 73 + 574 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57357463) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 113553 + ... + 114056.

It is an arithmetic number, because the mean of its divisors is an integer number (4602780).

Almost surely, 257357468 is an apocalyptic number.

It is an amenable number.

57357468 is an abundant number, since it is smaller than the sum of its proper divisors (108342612).

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

57357468 is a wasteful number, since it uses less digits than its factorization.

57357468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227626 (or 227621 counting only the distinct ones).

The product of its digits is 705600, while the sum is 45.

The square root of 57357468 is about 7573.4713309024. The cubic root of 57357468 is about 385.6529494473.

It can be divided in two parts, 5735 and 7468, that added together give a triangular number (13203 = T162).

The spelling of 57357468 in words is "fifty-seven million, three hundred fifty-seven thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 227609 455218 682827 910436 1365654 1593263 2048481 2731308 3186526 4096962 4779789 6373052 8193924 9559578 14339367 19119156 28678734 57357468