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57242616 = 23331471637
BaseRepresentation
bin1101101001011…
…1001111111000
310222201020002220
43122113033320
5104123230431
65402524040
71263361044
oct332271770
9128636086
1057242616
112a348252
1217206620
13bb22b92
147861024
15505ab96
hex36973f8

57242616 has 64 divisors (see below), whose sum is σ = 150958080. Its totient is φ = 18061440.

The previous prime is 57242609. The next prime is 57242623. The reversal of 57242616 is 61624275.

It is an interprime number because it is at equal distance from previous prime (57242609) and next prime (57242623).

It is a congruent number.

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, 34150 + ... + 35786.

It is an arithmetic number, because the mean of its divisors is an integer number (2358720).

Almost surely, 257242616 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 57242616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75479040).

57242616 is an abundant number, since it is smaller than the sum of its proper divisors (93715464).

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

57242616 is a wasteful number, since it uses less digits than its factorization.

57242616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1724 (or 1720 counting only the distinct ones).

The product of its digits is 20160, while the sum is 33.

The square root of 57242616 is about 7565.8850110215. The cubic root of 57242616 is about 385.3953682872.

The spelling of 57242616 in words is "fifty-seven million, two hundred forty-two thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 12 24 31 47 62 93 94 124 141 186 188 248 282 372 376 564 744 1128 1457 1637 2914 3274 4371 4911 5828 6548 8742 9822 11656 13096 17484 19644 34968 39288 50747 76939 101494 152241 153878 202988 230817 304482 307756 405976 461634 608964 615512 923268 1217928 1846536 2385109 4770218 7155327 9540436 14310654 19080872 28621308 57242616