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57969444 = 223132271637
BaseRepresentation
bin1101110100100…
…0101100100100
311001002011010110
43131020230210
5104320010234
65430253020
71302506061
oct335105444
9131064113
1057969444
112a7a4335
12174b7170
13c018960
1479adc68
1551511e9
hex3748b24

57969444 has 48 divisors (see below), whose sum is σ = 146397888. Its totient is φ = 17747328.

The previous prime is 57969427. The next prime is 57969451. The reversal of 57969444 is 44496975.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 57969393 and 57969402.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34594 + ... + 36230.

It is an arithmetic number, because the mean of its divisors is an integer number (3049956).

Almost surely, 257969444 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 57969444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73198944).

57969444 is an abundant number, since it is smaller than the sum of its proper divisors (88428444).

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

57969444 is a wasteful number, since it uses less digits than its factorization.

57969444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1884 (or 1882 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 48.

The square root of 57969444 is about 7613.7667418959. The cubic root of 57969444 is about 387.0196759688.

The spelling of 57969444 in words is "fifty-seven million, nine hundred sixty-nine thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 227 454 681 908 1362 1637 2724 2951 3274 4911 5902 6548 8853 9822 11804 17706 19644 21281 35412 42562 63843 85124 127686 255372 371599 743198 1114797 1486396 2229594 4459188 4830787 9661574 14492361 19323148 28984722 57969444