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57348081 = 347214449
BaseRepresentation
bin1101101011000…
…0111111110001
310222220120210000
43122300333301
5104140114311
65405100213
71264310400
oct332607761
9128816700
1057348081
112a40a50a
1217257669
13bb5bb9b
14788b637
15507c056
hex36b0ff1

57348081 has 30 divisors (see below), whose sum is σ = 99661650. Its totient is φ = 32768064.

The previous prime is 57348077. The next prime is 57348091. The reversal of 57348081 is 18084375.

57348081 is a `hidden beast` number, since 573 + 4 + 8 + 0 + 81 = 666.

It can be written as a sum of positive squares in only one way, i.e., 57153600 + 194481 = 7560^2 + 441^2 .

It is not a de Polignac number, because 57348081 - 22 = 57348077 is a prime.

It is a super-2 number, since 2×573480812 = 6577604788765122, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57348091) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 3256 + ... + 11193.

It is an arithmetic number, because the mean of its divisors is an integer number (3322055).

Almost surely, 257348081 is an apocalyptic number.

It is an amenable number.

57348081 is a deficient number, since it is larger than the sum of its proper divisors (42313569).

57348081 is a wasteful number, since it uses less digits than its factorization.

57348081 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14475 (or 14459 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 57348081 is about 7572.8515765199. The cubic root of 57348081 is about 385.6319099217.

The spelling of 57348081 in words is "fifty-seven million, three hundred forty-eight thousand, eighty-one".

Divisors: 1 3 7 9 21 27 49 63 81 147 189 441 567 1323 3969 14449 43347 101143 130041 303429 390123 708001 910287 1170369 2124003 2730861 6372009 8192583 19116027 57348081