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420597261 = 32713748731
BaseRepresentation
bin11001000100011…
…100111000001101
31002022102112222100
4121010130320031
51330133103021
6105422505313
713265006040
oct3104347015
91068375870
10420597261
111a6463a47
12b8a35239
13691a3826
143dc06c57
1526dd1626
hex1911ce0d

420597261 has 24 divisors (see below), whose sum is σ = 699401664. Its totient is φ = 238582080.

The previous prime is 420597259. The next prime is 420597263. The reversal of 420597261 is 162795024.

420597261 is a `hidden beast` number, since 4 + 2 + 0 + 597 + 2 + 61 = 666.

It is an interprime number because it is at equal distance from previous prime (420597259) and next prime (420597263).

It is not a de Polignac number, because 420597261 - 21 = 420597259 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420597263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15735 + ... + 32996.

It is an arithmetic number, because the mean of its divisors is an integer number (29141736).

Almost surely, 2420597261 is an apocalyptic number.

It is an amenable number.

420597261 is a deficient number, since it is larger than the sum of its proper divisors (278804403).

420597261 is a wasteful number, since it uses less digits than its factorization.

420597261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48881 (or 48878 counting only the distinct ones).

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

The square root of 420597261 is about 20508.4680315230. The cubic root of 420597261 is about 749.2420556184.

The spelling of 420597261 in words is "four hundred twenty million, five hundred ninety-seven thousand, two hundred sixty-one".

Divisors: 1 3 7 9 21 63 137 411 959 1233 2877 8631 48731 146193 341117 438579 1023351 3070053 6676147 20028441 46733029 60085323 140199087 420597261