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642007057 = 17109346469
BaseRepresentation
bin100110010001000…
…100000000010001
31122202001100010011
4212101010000101
52303323211212
6143412234521
721623653456
oct4621040021
91582040104
10642007057
112aa43a44a
1215b00ba41
13a3015b43
146139d82d
153b5694a7
hex26444011

642007057 has 8 divisors (see below), whose sum is σ = 686010600. Its totient is φ = 598696704.

The previous prime is 642007049. The next prime is 642007061. The reversal of 642007057 is 750700246.

It can be written as a sum of positive squares in 4 ways, for example, as 287099136 + 354907921 = 16944^2 + 18839^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 642007057 - 23 = 642007049 is a prime.

It is a super-2 number, since 2×6420070572 = 824346122475602498, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (642007007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 171382 + ... + 175087.

It is an arithmetic number, because the mean of its divisors is an integer number (85751325).

Almost surely, 2642007057 is an apocalyptic number.

It is an amenable number.

642007057 is a deficient number, since it is larger than the sum of its proper divisors (44003543).

642007057 is a wasteful number, since it uses less digits than its factorization.

642007057 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346595.

The product of its (nonzero) digits is 11760, while the sum is 31.

The square root of 642007057 is about 25337.8581770441. The cubic root of 642007057 is about 862.6737845436.

The spelling of 642007057 in words is "six hundred forty-two million, seven thousand, fifty-seven".

Divisors: 1 17 109 1853 346469 5889973 37765121 642007057