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429860928 = 2637245691
BaseRepresentation
bin11001100111110…
…010100001000000
31002221212012100010
4121213302201000
51340021022203
6110353224520
713436520600
oct3147624100
91087765303
10429860928
11200710972
12bbb62140
136b0981a3
1441138c00
1527b11303
hex199f2840

429860928 has 84 divisors (see below), whose sum is σ = 1323057552. Its totient is φ = 122814720.

The previous prime is 429860923. The next prime is 429860953. The reversal of 429860928 is 829068924.

It is a tau number, because it is divible by the number of its divisors (84).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (429860923) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13438 + ... + 32253.

Almost surely, 2429860928 is an apocalyptic number.

429860928 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

429860928 is an abundant number, since it is smaller than the sum of its proper divisors (893196624).

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

429860928 is a wasteful number, since it uses less digits than its factorization.

429860928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45720 (or 45703 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 48.

The square root of 429860928 is about 20733.0877584599. The cubic root of 429860928 is about 754.7028510635.

The spelling of 429860928 in words is "four hundred twenty-nine million, eight hundred sixty thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 147 168 192 196 224 294 336 392 448 588 672 784 1176 1344 1568 2352 3136 4704 9408 45691 91382 137073 182764 274146 319837 365528 548292 639674 731056 959511 1096584 1279348 1462112 1919022 2193168 2238859 2558696 2924224 3838044 4386336 4477718 5117392 6716577 7676088 8772672 8955436 10234784 13433154 15352176 17910872 20469568 26866308 30704352 35821744 53732616 61408704 71643488 107465232 143286976 214930464 429860928