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428976432 = 2433993001
BaseRepresentation
bin11001100100011…
…010100100110000
31002220012021001000
4121210122210300
51334304221212
6110322242000
713426145103
oct3144324460
91086167030
10428976432
11200167385
12bb7b6300
136ab48711
1440d8873a
15279d91dc
hex1991a930

428976432 has 40 divisors (see below), whose sum is σ = 1231322480. Its totient is φ = 142992000.

The previous prime is 428976421. The next prime is 428976437. The reversal of 428976432 is 234679824.

It is a super-2 number, since 2×4289764322 = 368041558422901248, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428976437) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 496069 + ... + 496932.

It is an arithmetic number, because the mean of its divisors is an integer number (30783062).

Almost surely, 2428976432 is an apocalyptic number.

It is an amenable number.

428976432 is an abundant number, since it is smaller than the sum of its proper divisors (802346048).

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

428976432 is a wasteful number, since it uses less digits than its factorization.

428976432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 993018 (or 993006 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 428976432 is about 20711.7462325126. The cubic root of 428976432 is about 754.1848618112.

The spelling of 428976432 in words is "four hundred twenty-eight million, nine hundred seventy-six thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 993001 1986002 2979003 3972004 5958006 7944008 8937009 11916012 15888016 17874018 23832024 26811027 35748036 47664048 53622054 71496072 107244108 142992144 214488216 428976432