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57091842 = 23223239577
BaseRepresentation
bin1101100111001…
…0011100000010
310222102120021200
43121302130002
5104103414332
65355402030
71262162343
oct331623402
9128376250
1057091842
112a254a45
1217153316
13ba9c372
1478220ca
15502b17c
hex3672702

57091842 has 48 divisors (see below), whose sum is σ = 129841920. Its totient is φ = 18095616.

The previous prime is 57091829. The next prime is 57091843. The reversal of 57091842 is 24819075.

57091842 is a `hidden beast` number, since 570 + 9 + 1 + 84 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 57091797 and 57091806.

It is not an unprimeable number, because it can be changed into a prime (57091843) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 98658 + ... + 99234.

It is an arithmetic number, because the mean of its divisors is an integer number (2705040).

Almost surely, 257091842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57091842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64920960).

57091842 is an abundant number, since it is smaller than the sum of its proper divisors (72750078).

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

57091842 is a wasteful number, since it uses less digits than its factorization.

57091842 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 847 (or 844 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 57091842 is about 7555.9143721988. The cubic root of 57091842 is about 385.0567004814.

The spelling of 57091842 in words is "fifty-seven million, ninety-one thousand, eight hundred forty-two".

Divisors: 1 2 3 6 9 18 23 46 69 138 207 239 414 478 577 717 1154 1434 1731 2151 3462 4302 5193 5497 10386 10994 13271 16491 26542 32982 39813 49473 79626 98946 119439 137903 238878 275806 413709 827418 1241127 2482254 3171769 6343538 9515307 19030614 28545921 57091842