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420251157 = 3246694573
BaseRepresentation
bin11001000011001…
…000011000010101
31002021202222012200
4121003020120111
51330041014112
6105411235113
713262035014
oct3103103025
91067688180
10420251157
111a6247a07
12b88a8a99
13690b2131
143db56a7b
1526d63cdc
hex190c8615

420251157 has 6 divisors (see below), whose sum is σ = 607029462. Its totient is φ = 280167432.

The previous prime is 420251141. The next prime is 420251173. The reversal of 420251157 is 751152024.

It is an interprime number because it is at equal distance from previous prime (420251141) and next prime (420251173).

It can be written as a sum of positive squares in only one way, i.e., 392277636 + 27973521 = 19806^2 + 5289^2 .

It is not a de Polignac number, because 420251157 - 24 = 420251141 is a prime.

It is a super-2 number, since 2×4202511572 = 353222069919677298, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 420251157.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420251357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 23347278 + ... + 23347295.

It is an arithmetic number, because the mean of its divisors is an integer number (101171577).

Almost surely, 2420251157 is an apocalyptic number.

It is an amenable number.

420251157 is a deficient number, since it is larger than the sum of its proper divisors (186778305).

420251157 is a wasteful number, since it uses less digits than its factorization.

420251157 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46694579 (or 46694576 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 420251157 is about 20500.0282194928. The cubic root of 420251157 is about 749.0364853828.

The spelling of 420251157 in words is "four hundred twenty million, two hundred fifty-one thousand, one hundred fifty-seven".

Divisors: 1 3 9 46694573 140083719 420251157