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428059457 = 7257277859
BaseRepresentation
bin11001100000111…
…010101101000001
31002211110200011222
4121200322231001
51334040400312
6110250444425
713415305520
oct3140725501
91084420158
10428059457
111aa6a0451
12bb433715
136a8b7227
1440bca4b7
15278a7672
hex1983ab41

428059457 has 16 divisors (see below), whose sum is σ = 493461120. Its totient is φ = 363737088.

The previous prime is 428059441. The next prime is 428059483. The reversal of 428059457 is 754950824.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 428059457 - 24 = 428059441 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (428059487) 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 15 ways as a sum of consecutive naturals, for example, 497894 + ... + 498752.

It is an arithmetic number, because the mean of its divisors is an integer number (30841320).

Almost surely, 2428059457 is an apocalyptic number.

It is an amenable number.

428059457 is a deficient number, since it is larger than the sum of its proper divisors (65401663).

428059457 is a wasteful number, since it uses less digits than its factorization.

428059457 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1400.

The product of its (nonzero) digits is 403200, while the sum is 44.

The square root of 428059457 is about 20689.5977969607. The cubic root of 428059457 is about 753.6470995465.

The spelling of 428059457 in words is "four hundred twenty-eight million, fifty-nine thousand, four hundred fifty-seven".

Divisors: 1 7 257 277 859 1799 1939 6013 71189 220763 237943 498323 1545341 1665601 61151351 428059457