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259407421 = 7213407233
BaseRepresentation
bin11110111011000…
…11111000111101
3200002010021002021
433131203320331
51012402014141
641424000141
76266632600
oct1735437075
9602107067
10259407421
111234796a9
1272a60051
1341987620
1426648337
1517b916d1
hexf763e3d

259407421 has 12 divisors (see below), whose sum is σ = 324972732. Its totient is φ = 205244928.

The previous prime is 259407389. The next prime is 259407427. The reversal of 259407421 is 124704952.

It can be written as a sum of positive squares in 2 ways, for example, as 48024900 + 211382521 = 6930^2 + 14539^2 .

It is not a de Polignac number, because 259407421 - 25 = 259407389 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (259407427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 202980 + ... + 204253.

It is an arithmetic number, because the mean of its divisors is an integer number (27081061).

Almost surely, 2259407421 is an apocalyptic number.

It is an amenable number.

259407421 is a deficient number, since it is larger than the sum of its proper divisors (65565311).

259407421 is a wasteful number, since it uses less digits than its factorization.

259407421 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407260 (or 407253 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 34.

The square root of 259407421 is about 16106.1299200025. The cubic root of 259407421 is about 637.7651715511.

The spelling of 259407421 in words is "two hundred fifty-nine million, four hundred seven thousand, four hundred twenty-one".

Divisors: 1 7 13 49 91 637 407233 2850631 5294029 19954417 37058203 259407421