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28834464 = 253319689
BaseRepresentation
bin110110111111…
…1101010100000
32000020221110010
41231333222200
524340200324
62510004520
7500042331
oct155775240
960227403
1028834464
111530483a
1297a6740
135c87619
143b88288
1527e8829
hex1b7faa0

28834464 has 48 divisors (see below), whose sum is σ = 78140160. Its totient is φ = 9300480.

The previous prime is 28834459. The next prime is 28834471. The reversal of 28834464 is 46443882.

It is a tau number, because it is divible by the number of its divisors (48).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1869 + ... + 7820.

It is an arithmetic number, because the mean of its divisors is an integer number (1627920).

Almost surely, 228834464 is an apocalyptic number.

28834464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

28834464 is an abundant number, since it is smaller than the sum of its proper divisors (49305696).

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

28834464 is a wasteful number, since it uses less digits than its factorization.

28834464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9733 (or 9725 counting only the distinct ones).

The product of its digits is 147456, while the sum is 39.

The square root of 28834464 is about 5369.7731795673. The cubic root of 28834464 is about 306.6459931453.

The spelling of 28834464 in words is "twenty-eight million, eight hundred thirty-four thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 496 744 992 1488 2976 9689 19378 29067 38756 58134 77512 116268 155024 232536 300359 310048 465072 600718 901077 930144 1201436 1802154 2402872 3604308 4805744 7208616 9611488 14417232 28834464