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57640302 = 23317371697
BaseRepresentation
bin1101101111100…
…0010101101110
311000110102122000
43123320111232
5104223442202
65415233130
71266635346
oct333702556
9130412560
1057640302
112a59a015
12173787a6
13bc31bb5
147925d26
1550d891c
hex36f856e

57640302 has 64 divisors (see below), whose sum is σ = 139371840. Its totient is φ = 17584128.

The previous prime is 57640249. The next prime is 57640307. The reversal of 57640302 is 20304675.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57640307) 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, 33118 + ... + 34814.

It is an arithmetic number, because the mean of its divisors is an integer number (2177685).

Almost surely, 257640302 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57640302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69685920).

57640302 is an abundant number, since it is smaller than the sum of its proper divisors (81731538).

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

57640302 is a wasteful number, since it uses less digits than its factorization.

57640302 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1762 (or 1756 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 57640302 is about 7592.1210475071. The cubic root of 57640302 is about 386.2858049568.

Adding to 57640302 its reverse (20304675), we get a palindrome (77944977).

The spelling of 57640302 in words is "fifty-seven million, six hundred forty thousand, three hundred two".

Divisors: 1 2 3 6 9 17 18 27 34 37 51 54 74 102 111 153 222 306 333 459 629 666 918 999 1258 1697 1887 1998 3394 3774 5091 5661 10182 11322 15273 16983 28849 30546 33966 45819 57698 62789 86547 91638 125578 173094 188367 259641 376734 519282 565101 778923 1067413 1130202 1557846 1695303 2134826 3202239 3390606 6404478 9606717 19213434 28820151 57640302