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428908905 = 33524113183
BaseRepresentation
bin11001100100001…
…010000101101001
31002220001211102000
4121210022011221
51334300041110
6110321001213
713425444165
oct3144120551
91086054360
10428908905
11200120677
12bb783209
136ab23a69
1440d6bca5
15279c41c0
hex1990a169

428908905 has 32 divisors (see below), whose sum is σ = 765726720. Its totient is φ = 227784960.

The previous prime is 428908903. The next prime is 428908943. The reversal of 428908905 is 509809824.

It is not a de Polignac number, because 428908905 - 21 = 428908903 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (428908903) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25944 + ... + 39126.

It is an arithmetic number, because the mean of its divisors is an integer number (23928960).

Almost surely, 2428908905 is an apocalyptic number.

428908905 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

428908905 is a deficient number, since it is larger than the sum of its proper divisors (336817815).

428908905 is a wasteful number, since it uses less digits than its factorization.

428908905 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13438 (or 13432 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 428908905 is about 20710.1160064351. The cubic root of 428908905 is about 754.1452865884.

The spelling of 428908905 in words is "four hundred twenty-eight million, nine hundred eight thousand, nine hundred five".

Divisors: 1 3 5 9 15 27 45 135 241 723 1205 2169 3615 6507 10845 13183 32535 39549 65915 118647 197745 355941 593235 1779705 3177103 9531309 15885515 28593927 47656545 85781781 142969635 428908905