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904142057 = 71323312309
BaseRepresentation
bin110101111001000…
…001110011101001
32100000022011201212
4311321001303221
53322430021212
6225414522505
731256036450
oct6571016351
92300264655
10904142057
11424401345
12212966435
13115416b00
1488117b97
1554598e22
hex35e41ce9

904142057 has 24 divisors (see below), whose sum is σ = 1122770880. Its totient is φ = 712895040.

The previous prime is 904142047. The next prime is 904142111. The reversal of 904142057 is 750241409.

It is a happy number.

It is not a de Polignac number, because 904142057 - 28 = 904141801 is a prime.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (904142047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 390419 + ... + 392727.

It is an arithmetic number, because the mean of its divisors is an integer number (46782120).

Almost surely, 2904142057 is an apocalyptic number.

It is an amenable number.

904142057 is a deficient number, since it is larger than the sum of its proper divisors (218628823).

904142057 is a wasteful number, since it uses less digits than its factorization.

904142057 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2673 (or 2660 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The square root of 904142057 is about 30068.9550367152. The cubic root of 904142057 is about 966.9682707847.

The spelling of 904142057 in words is "nine hundred four million, one hundred forty-two thousand, fifty-seven".

Divisors: 1 7 13 91 169 331 1183 2309 2317 4303 16163 30017 30121 55939 210119 390221 391573 764279 2731547 5349953 9935627 69549389 129163151 904142057