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30057876 = 2232834941
BaseRepresentation
bin111001010101…
…0010110010100
32002120002122200
41302222112110
530143323001
62552124500
7513326202
oct162522624
962502580
1030057876
1115a6aa22
12a096730
1362c5434
143dc6072
15298b086
hex1caa594

30057876 has 18 divisors (see below), whose sum is σ = 75979722. Its totient is φ = 10019280.

The previous prime is 30057871. The next prime is 30057889. The reversal of 30057876 is 67875003.

It can be written as a sum of positive squares in only one way, i.e., 26255376 + 3802500 = 5124^2 + 1950^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 834941 = 30057876 / (3 + 0 + 0 + 5 + 7 + 8 + 7 + 6).

It is a self number, because there is not a number n which added to its sum of digits gives 30057876.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30057871) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 417435 + ... + 417506.

Almost surely, 230057876 is an apocalyptic number.

30057876 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

30057876 is an abundant number, since it is smaller than the sum of its proper divisors (45921846).

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

30057876 is a wasteful number, since it uses less digits than its factorization.

30057876 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 834951 (or 834946 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 30057876 is about 5482.5063611454. The cubic root of 30057876 is about 310.9229380031.

The spelling of 30057876 in words is "thirty million, fifty-seven thousand, eight hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 36 834941 1669882 2504823 3339764 5009646 7514469 10019292 15028938 30057876