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428132322 = 23248772
BaseRepresentation
bin11001100001001…
…100011111100010
31002211121101010200
4121201030133202
51334100213242
6110252210030
713416031122
oct3141143742
91084541120
10428132322
111aa740172
12bb469916
136a911447
1440c08c82
15278be04c
hex1984c7e2

428132322 has 18 divisors (see below), whose sum is σ = 927810273. Its totient is φ = 142681512.

The previous prime is 428132321. The next prime is 428132323. The reversal of 428132322 is 223231824.

428132322 is a `hidden beast` number, since 428 + 1 + 3 + 232 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (428132321) and next prime (428132323).

It can be written as a sum of positive squares in 2 ways, for example, as 405579321 + 22553001 = 20139^2 + 4749^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=14631.

It is a super-2 number, since 2×4281323222 = 366594570282223368, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (428132321) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 85348 + ... + 90224.

Almost surely, 2428132322 is an apocalyptic number.

428132322 is an abundant number, since it is smaller than the sum of its proper divisors (499677951).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

428132322 is an frugal number, since it uses more digits than its factorization.

428132322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9762 (or 4882 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 428132322 is about 20691.3586310808. The cubic root of 428132322 is about 753.6898594789.

Multiplying 428132322 by its product of digits (4608), we get a square (1972833739776 = 14045762).

The spelling of 428132322 in words is "four hundred twenty-eight million, one hundred thirty-two thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 18 4877 9754 14631 29262 43893 87786 23785129 47570258 71355387 142710774 214066161 428132322