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429148328 = 23716134751
BaseRepresentation
bin11001100101000…
…100100010101000
31002220111222211112
4121211010202220
51334330221303
6110330045452
713430462210
oct3145044250
91086458745
10429148328
11200274544
12bb879888
136aba8a2b
1440dd1240
1527a200d8
hex199448a8

429148328 has 32 divisors (see below), whose sum is σ = 920367360. Its totient is φ = 183768000.

The previous prime is 429148327. The next prime is 429148337. The reversal of 429148328 is 823841924.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (429148327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 87953 + ... + 92703.

It is an arithmetic number, because the mean of its divisors is an integer number (28761480).

Almost surely, 2429148328 is an apocalyptic number.

It is an amenable number.

429148328 is an abundant number, since it is smaller than the sum of its proper divisors (491219032).

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

429148328 is a wasteful number, since it uses less digits than its factorization.

429148328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6377 (or 6373 counting only the distinct ones).

The product of its digits is 110592, while the sum is 41.

The square root of 429148328 is about 20715.8955394161. The cubic root of 429148328 is about 754.2855853311.

The spelling of 429148328 in words is "four hundred twenty-nine million, one hundred forty-eight thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 14 28 56 1613 3226 4751 6452 9502 11291 12904 19004 22582 33257 38008 45164 66514 90328 133028 266056 7663363 15326726 30653452 53643541 61306904 107287082 214574164 429148328