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428419413 = 322313715107
BaseRepresentation
bin11001100010010…
…010100101010101
31002212010221221200
4121202102211111
51334133410123
6110302303113
713421335122
oct3142224525
91085127850
10428419413
111aa916934
12bb587a99
136a9b2016
1440c81749
1527929143
hex19892955

428419413 has 24 divisors (see below), whose sum is σ = 650490048. Its totient is φ = 271182912.

The previous prime is 428419403. The next prime is 428419417. The reversal of 428419413 is 314914824.

It is a happy number.

It is not a de Polignac number, because 428419413 - 28 = 428419157 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428419417) 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, 20806 + ... + 35912.

It is an arithmetic number, because the mean of its divisors is an integer number (27103752).

Almost surely, 2428419413 is an apocalyptic number.

It is an amenable number.

428419413 is a deficient number, since it is larger than the sum of its proper divisors (222070635).

428419413 is a wasteful number, since it uses less digits than its factorization.

428419413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15273 (or 15270 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 428419413 is about 20698.2949297762. The cubic root of 428419413 is about 753.8582881143.

The spelling of 428419413 in words is "four hundred twenty-eight million, four hundred nineteen thousand, four hundred thirteen".

Divisors: 1 3 9 23 69 137 207 411 1233 3151 9453 15107 28359 45321 135963 347461 1042383 2069659 3127149 6208977 18626931 47602157 142806471 428419413