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427591825 = 52128313331
BaseRepresentation
bin11001011111001…
…000100010010001
31002210120220201021
4121133020202101
51333430414300
6110232435441
713411320253
oct3137104221
91083526637
10427591825
111aa401081
12bb248b81
136a78241b
1440b07cd3
1527813d1a
hex197c8891

427591825 has 12 divisors (see below), whose sum is σ = 530666928. Its totient is φ = 341781200.

The previous prime is 427591807. The next prime is 427591841. The reversal of 427591825 is 528195724.

It is not a de Polignac number, because 427591825 - 29 = 427591313 is a prime.

It is a Duffinian 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 11 ways as a sum of consecutive naturals, for example, 25410 + ... + 38740.

It is an arithmetic number, because the mean of its divisors is an integer number (44222244).

Almost surely, 2427591825 is an apocalyptic number.

It is an amenable number.

427591825 is a deficient number, since it is larger than the sum of its proper divisors (103075103).

427591825 is a wasteful number, since it uses less digits than its factorization.

427591825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14624 (or 14619 counting only the distinct ones).

The product of its digits is 201600, while the sum is 43.

The square root of 427591825 is about 20678.2935707954. The cubic root of 427591825 is about 753.3725598695.

It can be divided in two parts, 4275 and 91825, that added together give a square (96100 = 3102).

The spelling of 427591825 in words is "four hundred twenty-seven million, five hundred ninety-one thousand, eight hundred twenty-five".

Divisors: 1 5 25 1283 6415 13331 32075 66655 333275 17103673 85518365 427591825