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30182528 = 27376373
BaseRepresentation
bin111001100100…
…0110010000000
32002210102122102
41303020302000
530211320103
62554525532
7514355465
oct163106200
962712572
1030182528
1116045642
12a1368a8
13633a0ac
14401966c
1529b2e88
hex1cc8c80

30182528 has 32 divisors (see below), whose sum is σ = 61764060. Its totient is φ = 14681088.

The previous prime is 30182527. The next prime is 30182539. The reversal of 30182528 is 82528103.

It can be written as a sum of positive squares in 2 ways, for example, as 25482304 + 4700224 = 5048^2 + 2168^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a self number, because there is not a number n which added to its sum of digits gives 30182528.

It is not an unprimeable number, because it can be changed into a prime (30182527) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1550 + ... + 7922.

Almost surely, 230182528 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 30182528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30882030).

30182528 is an abundant number, since it is smaller than the sum of its proper divisors (31581532).

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

30182528 is an equidigital number, since it uses as much as digits as its factorization.

30182528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6424 (or 6412 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 29.

The square root of 30182528 is about 5493.8627576597. The cubic root of 30182528 is about 311.3521512203.

The spelling of 30182528 in words is "thirty million, one hundred eighty-two thousand, five hundred twenty-eight".

Divisors: 1 2 4 8 16 32 37 64 74 128 148 296 592 1184 2368 4736 6373 12746 25492 50984 101968 203936 235801 407872 471602 815744 943204 1886408 3772816 7545632 15091264 30182528