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420927642 = 23279296011
BaseRepresentation
bin11001000101101…
…101100010011010
31002100001100011200
4121011231202122
51330224141032
6105433535030
713300553202
oct3105554232
91070040150
10420927642
111a666a193
12b8b74476
136928b015
143dc91402
1526e4947c
hex1916d89a

420927642 has 24 divisors (see below), whose sum is σ = 923557440. Its totient is φ = 138532680.

The previous prime is 420927631. The next prime is 420927649. The reversal of 420927642 is 246729024.

420927642 is a `hidden beast` number, since 4 + 2 + 0 + 9 + 2 + 7 + 642 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 420927597 and 420927606.

It is not an unprimeable number, because it can be changed into a prime (420927649) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 146584 + ... + 149427.

It is an arithmetic number, because the mean of its divisors is an integer number (38481560).

Almost surely, 2420927642 is an apocalyptic number.

420927642 is an abundant number, since it is smaller than the sum of its proper divisors (502629798).

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

420927642 is a wasteful number, since it uses less digits than its factorization.

420927642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296098 (or 296095 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 420927642 is about 20516.5211963432. The cubic root of 420927642 is about 749.4381819190.

The spelling of 420927642 in words is "four hundred twenty million, nine hundred twenty-seven thousand, six hundred forty-two".

Divisors: 1 2 3 6 9 18 79 158 237 474 711 1422 296011 592022 888033 1776066 2664099 5328198 23384869 46769738 70154607 140309214 210463821 420927642