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129733408 = 2574313469
BaseRepresentation
bin1111011101110…
…01001100100000
3100001010010210001
413232321030200
5231202432113
620512345344
73133500340
oct756711440
9301103701
10129733408
116725a6a2
1237545254
1320b5433c
1413330d20
15b5c97dd
hex7bb9320

129733408 has 48 divisors (see below), whose sum is σ = 298710720. Its totient is φ = 54302976.

The previous prime is 129733403. The next prime is 129733441. The reversal of 129733408 is 804337921.

It is not an unprimeable number, because it can be changed into a prime (129733403) 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, 2898 + ... + 16366.

It is an arithmetic number, because the mean of its divisors is an integer number (6223140).

Almost surely, 2129733408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 129733408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149355360).

129733408 is an abundant number, since it is smaller than the sum of its proper divisors (168977312).

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

129733408 is a wasteful number, since it uses less digits than its factorization.

129733408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13529 (or 13521 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 37.

The square root of 129733408 is about 11390.0574186437. The cubic root of 129733408 is about 506.2331826350.

The spelling of 129733408 in words is "one hundred twenty-nine million, seven hundred thirty-three thousand, four hundred eight".

Divisors: 1 2 4 7 8 14 16 28 32 43 56 86 112 172 224 301 344 602 688 1204 1376 2408 4816 9632 13469 26938 53876 94283 107752 188566 215504 377132 431008 579167 754264 1158334 1508528 2316668 3017056 4054169 4633336 8108338 9266672 16216676 18533344 32433352 64866704 129733408