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426012957 = 32300115773
BaseRepresentation
bin11001011001000…
…111000100011101
31002200121200220200
4121121013010131
51333024403312
6110134534113
713362023166
oct3131070435
91080550820
10426012957
111a9522927
12ba807339
136a34b896
144081676d
15276010dc
hex1964711d

426012957 has 12 divisors (see below), whose sum is σ = 615596124. Its totient is φ = 283896000.

The previous prime is 426012949. The next prime is 426012967. The reversal of 426012957 is 759210624.

426012957 is a `hidden beast` number, since 42 + 601 + 2 + 9 + 5 + 7 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 239444676 + 186568281 = 15474^2 + 13659^2 .

It is not a de Polignac number, because 426012957 - 23 = 426012949 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (426012907) 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, 19123 + ... + 34895.

It is an arithmetic number, because the mean of its divisors is an integer number (51299677).

Almost surely, 2426012957 is an apocalyptic number.

It is an amenable number.

426012957 is a deficient number, since it is larger than the sum of its proper divisors (189583167).

426012957 is a wasteful number, since it uses less digits than its factorization.

426012957 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18780 (or 18777 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 426012957 is about 20640.0813225142. The cubic root of 426012957 is about 752.4441488627. Note that the first 3 decimals are identical.

The spelling of 426012957 in words is "four hundred twenty-six million, twelve thousand, nine hundred fifty-seven".

Divisors: 1 3 9 3001 9003 15773 27009 47319 141957 47334773 142004319 426012957