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57291444 = 22327613727
BaseRepresentation
bin1101101010001…
…1001010110100
310222210201002100
43122203022310
5104131311234
65403542100
71263653310
oct332431264
9128721070
1057291444
112a380a01
121722a930
13bb3c182
147874b40
15506a399
hex36a32b4

57291444 has 72 divisors (see below), whose sum is σ = 168267008. Its totient is φ = 16096320.

The previous prime is 57291427. The next prime is 57291457. The reversal of 57291444 is 44419275.

It is a happy number.

57291444 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 57291399 and 57291408.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13509 + ... + 17235.

Almost surely, 257291444 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 57291444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84133504).

57291444 is an abundant number, since it is smaller than the sum of its proper divisors (110975564).

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

57291444 is a wasteful number, since it uses less digits than its factorization.

57291444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3805 (or 3800 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 57291444 is about 7569.1111763535. Note that the first 4 decimals coincide. The cubic root of 57291444 is about 385.5049180031.

The spelling of 57291444 in words is "fifty-seven million, two hundred ninety-one thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 61 63 84 122 126 183 244 252 366 427 549 732 854 1098 1281 1708 2196 2562 3727 3843 5124 7454 7686 11181 14908 15372 22362 26089 33543 44724 52178 67086 78267 104356 134172 156534 227347 234801 313068 454694 469602 682041 909388 939204 1364082 1591429 2046123 2728164 3182858 4092246 4774287 6365716 8184492 9548574 14322861 19097148 28645722 57291444