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900890625 = 35619219
BaseRepresentation
bin110101101100101…
…000000000000001
32022210011222121110
4311230220000001
53321112000000
6225221113533
731216305165
oct6554500001
92283158543
10900890625
11422590508
122118588a9
13114848b9b
148790cca5
1554155850
hex35b28001

900890625 has 28 divisors (see below), whose sum is σ = 1501543280. Its totient is φ = 480450000.

The previous prime is 900890623. The next prime is 900890677. The reversal of 900890625 is 526098009.

It is a happy number.

It is not a de Polignac number, because 900890625 - 21 = 900890623 is a prime.

It is not an unprimeable number, because it can be changed into a prime (900890623) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 37266 + ... + 56484.

It is a Proth number, since it is equal to 27493 ⋅ 215 + 1 and 27493 < 215.

Almost surely, 2900890625 is an apocalyptic number.

It is an amenable number.

900890625 is a deficient number, since it is larger than the sum of its proper divisors (600652655).

900890625 is an frugal number, since it uses more digits than its factorization.

900890625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19252 (or 19227 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 39.

The square root of 900890625 is about 30014.8400795340. The cubic root of 900890625 is about 965.8077570112.

The spelling of 900890625 in words is "nine hundred million, eight hundred ninety thousand, six hundred twenty-five".

Divisors: 1 3 5 15 25 75 125 375 625 1875 3125 9375 15625 19219 46875 57657 96095 288285 480475 1441425 2402375 7207125 12011875 36035625 60059375 180178125 300296875 900890625