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428983092 = 223211916197
BaseRepresentation
bin11001100100011…
…100001100110100
31002220012121011200
4121210130030310
51334304424332
6110322332500
713426203366
oct3144341464
91086177150
10428983092
1120017138a
12bb7ba130
136ab4b765
1440d8ad36
15279db17c
hex1991c334

428983092 has 18 divisors (see below), whose sum is σ = 1084374018. Its totient is φ = 142994352.

The previous prime is 428983091. The next prime is 428983099. The reversal of 428983092 is 290389824.

It can be written as a sum of positive squares in only one way, i.e., 413959716 + 15023376 = 20346^2 + 3876^2 .

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

It is a Smith number, since the sum of its digits (45) 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 (428983091) 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 5 ways as a sum of consecutive naturals, for example, 5958063 + ... + 5958134.

It is an arithmetic number, because the mean of its divisors is an integer number (60243001).

Almost surely, 2428983092 is an apocalyptic number.

It is an amenable number.

428983092 is an abundant number, since it is smaller than the sum of its proper divisors (655390926).

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

428983092 is a wasteful number, since it uses less digits than its factorization.

428983092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11916207 (or 11916202 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 428983092 is about 20711.9070102200. The cubic root of 428983092 is about 754.1887647802.

The spelling of 428983092 in words is "four hundred twenty-eight million, nine hundred eighty-three thousand, ninety-two".

Divisors: 1 2 3 4 6 9 12 18 36 11916197 23832394 35748591 47664788 71497182 107245773 142994364 214491546 428983092