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30125264 = 24133857
BaseRepresentation
bin111001011101…
…0110011010000
32002200112002112
41302322303100
530203002024
62553404452
7514026521
oct162726320
962615075
1030125264
1116006614
12a109728
13631a000
144002848
1529a100e
hex1cbacd0

30125264 has 40 divisors (see below), whose sum is σ = 63303240. Its totient is φ = 13887744.

The previous prime is 30125257. The next prime is 30125281. The reversal of 30125264 is 46252103.

It can be written as a sum of positive squares in 4 ways, for example, as 3168400 + 26956864 = 1780^2 + 5192^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34724 + ... + 35580.

It is an arithmetic number, because the mean of its divisors is an integer number (1582581).

Almost surely, 230125264 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 30125264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31651620).

30125264 is an abundant number, since it is smaller than the sum of its proper divisors (33177976).

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

30125264 is an equidigital number, since it uses as much as digits as its factorization.

30125264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 904 (or 872 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 30125264 is about 5488.6486497133. The cubic root of 30125264 is about 311.1551215895.

Adding to 30125264 its reverse (46252103), we get a palindrome (76377367).

The spelling of 30125264 in words is "thirty million, one hundred twenty-five thousand, two hundred sixty-four".

Divisors: 1 2 4 8 13 16 26 52 104 169 208 338 676 857 1352 1714 2197 2704 3428 4394 6856 8788 11141 13712 17576 22282 35152 44564 89128 144833 178256 289666 579332 1158664 1882829 2317328 3765658 7531316 15062632 30125264