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57465044 = 227213191187
BaseRepresentation
bin1101101100110…
…1100011010100
311000010112012222
43123031203110
5104202340134
65411401512
71265305400
oct333154324
9130115188
1057465044
112a48a37a
12172b3298
13bba01b0
1478bc100
1550a1a2e
hex36cd8d4

57465044 has 72 divisors (see below), whose sum is σ = 132723360. Its totient is φ = 21518784.

The previous prime is 57465043. The next prime is 57465047. The reversal of 57465044 is 44056475.

It is a junction number, because it is equal to n+sod(n) for n = 57464995 and 57465013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57465043) 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, 47819 + ... + 49005.

It is an arithmetic number, because the mean of its divisors is an integer number (1843380).

Almost surely, 257465044 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 57465044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66361680).

57465044 is an abundant number, since it is smaller than the sum of its proper divisors (75258316).

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

57465044 is a wasteful number, since it uses less digits than its factorization.

57465044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1237 (or 1228 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 35.

The square root of 57465044 is about 7580.5701632529. The cubic root of 57465044 is about 385.8939008778.

The spelling of 57465044 in words is "fifty-seven million, four hundred sixty-five thousand, forty-four".

Divisors: 1 2 4 7 13 14 19 26 28 38 49 52 76 91 98 133 182 196 247 266 364 494 532 637 931 988 1187 1274 1729 1862 2374 2548 3458 3724 4748 6916 8309 12103 15431 16618 22553 24206 30862 33236 45106 48412 58163 61724 90212 108017 116326 157871 216034 232652 293189 315742 432068 586378 631484 756119 1105097 1172756 1512238 2052323 2210194 3024476 4104646 4420388 8209292 14366261 28732522 57465044