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75860052 = 223172411543
BaseRepresentation
bin1001000010110…
…00100001010100
312021202002102120
410201120201110
5123410010202
611305535540
71610541222
oct441304124
9167662376
1075860052
1139903864
12214a45b0
1312940c08
14a109b12
1569d70bc
hex4858854

75860052 has 48 divisors (see below), whose sum is σ = 188318592. Its totient is φ = 23685120.

The previous prime is 75860047. The next prime is 75860063. The reversal of 75860052 is 25006857.

It is a happy number.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 75859995 and 75860022.

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, 48393 + ... + 49935.

It is an arithmetic number, because the mean of its divisors is an integer number (3923304).

Almost surely, 275860052 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 75860052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94159296).

75860052 is an abundant number, since it is smaller than the sum of its proper divisors (112458540).

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

75860052 is a wasteful number, since it uses less digits than its factorization.

75860052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1808 (or 1806 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 33.

The square root of 75860052 is about 8709.7676203215. The cubic root of 75860052 is about 423.3222008494.

The spelling of 75860052 in words is "seventy-five million, eight hundred sixty thousand, fifty-two".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 241 482 723 964 1446 1543 2892 3086 4097 4629 6172 8194 9258 12291 16388 18516 24582 26231 49164 52462 78693 104924 157386 314772 371863 743726 1115589 1487452 2231178 4462356 6321671 12643342 18965013 25286684 37930026 75860052