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57382116 = 223113137379
BaseRepresentation
bin1101101011100…
…1010011100100
310222222022110120
43122321103210
5104142211431
65405521540
71264511541
oct332712344
9128868416
1057382116
112a433040
12172732b0
13bb7151c
147899bc8
155087196
hex36b94e4

57382116 has 96 divisors (see below), whose sum is σ = 155258880. Its totient is φ = 16329600.

The previous prime is 57382111. The next prime is 57382139. The reversal of 57382116 is 61128375.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (57382111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 151215 + ... + 151593.

It is an arithmetic number, because the mean of its divisors is an integer number (1617280).

Almost surely, 257382116 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 57382116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77629440).

57382116 is an abundant number, since it is smaller than the sum of its proper divisors (97876764).

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

57382116 is a wasteful number, since it uses less digits than its factorization.

57382116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465 (or 463 counting only the distinct ones).

The product of its digits is 10080, while the sum is 33.

The square root of 57382116 is about 7575.0984152023. The cubic root of 57382116 is about 385.7081832466.

The spelling of 57382116 in words is "fifty-seven million, three hundred eighty-two thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 11 12 22 31 33 37 44 62 66 74 93 111 124 132 148 186 222 341 372 379 407 444 682 758 814 1023 1137 1147 1221 1364 1516 1628 2046 2274 2294 2442 3441 4092 4169 4548 4588 4884 6882 8338 11749 12507 12617 13764 14023 16676 23498 25014 25234 28046 35247 37851 42069 46996 50028 50468 56092 70494 75702 84138 129239 140988 151404 154253 168276 258478 308506 387717 434713 462759 516956 617012 775434 869426 925518 1304139 1550868 1738852 1851036 2608278 4781843 5216556 9563686 14345529 19127372 28691058 57382116