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57412740 = 223571117243
BaseRepresentation
bin1101101100000…
…0110010000100
311000000212110210
43123000302010
5104144201430
65410315420
71265000040
oct333006204
9130025423
1057412740
112a454050
1217288b70
13bb82448
1478a7020
1550912b0
hex36c0c84

57412740 has 288 divisors, whose sum is σ = 217857024. Its totient is φ = 10967040.

The previous prime is 57412711. The next prime is 57412741. The reversal of 57412740 is 4721475.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 57412698 and 57412707.

It is not an unprimeable number, because it can be changed into a prime (57412741) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1335159 + ... + 1335201.

It is an arithmetic number, because the mean of its divisors is an integer number (756448).

Almost surely, 257412740 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 57412740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108928512).

57412740 is an abundant number, since it is smaller than the sum of its proper divisors (160444284).

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

57412740 is a wasteful number, since it uses less digits than its factorization.

57412740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 7840, while the sum is 30.

The square root of 57412740 is about 7577.1195054585. The cubic root of 57412740 is about 385.7767866580.

The spelling of 57412740 in words is "fifty-seven million, four hundred twelve thousand, seven hundred forty".