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981255625 = 54721792
BaseRepresentation
bin111010011111001…
…100010111001001
32112101101221122221
4322133030113021
54002200140000
6241211414041
733213351400
oct7237142711
92471357587
10981255625
11463990969
12234754321
131283a643c
149446c637
155b22c61a
hex3a7cc5c9

981255625 has 45 divisors (see below), whose sum is σ = 1434382257. Its totient is φ = 669102000.

The previous prime is 981255563. The next prime is 981255641. The reversal of 981255625 is 526552189.

The square root of 981255625 is 31325.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 76930441 + 904325184 = 8771^2 + 30072^2 .

It is a de Polignac number, because none of the positive numbers 2k-981255625 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 5481786 + ... + 5481964.

Almost surely, 2981255625 is an apocalyptic number.

981255625 is the 31325-th square number.

981255625 is the 15663-rd centered octagonal number.

It is an amenable number.

981255625 is a deficient number, since it is larger than the sum of its proper divisors (453126632).

981255625 is an frugal number, since it uses more digits than its factorization.

981255625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 191 counting only the distinct ones).

The product of its digits is 216000, while the sum is 43.

The cubic root of 981255625 is about 993.7124242480.

The spelling of 981255625 in words is "nine hundred eighty-one million, two hundred fifty-five thousand, six hundred twenty-five".

Divisors: 1 5 7 25 35 49 125 175 179 245 625 875 895 1225 1253 4375 4475 6125 6265 8771 22375 30625 31325 32041 43855 111875 156625 160205 219275 224287 783125 801025 1096375 1121435 1570009 4005125 5481875 5607175 7850045 20025625 28035875 39250225 140179375 196251125 981255625