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129046752 = 25322915451
BaseRepresentation
bin1111011000100…
…01100011100000
322222211020212100
413230101203200
5231013444002
620445530400
73124610412
oct754214340
9288736770
10129046752
116693080a
1237273a00
1320973933
14131d29b2
15b4e111c
hex7b118e0

129046752 has 72 divisors (see below), whose sum is σ = 379655640. Its totient is φ = 41529600.

The previous prime is 129046733. The next prime is 129046777. The reversal of 129046752 is 257640921.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 627 + ... + 16077.

It is an arithmetic number, because the mean of its divisors is an integer number (5272995).

Almost surely, 2129046752 is an apocalyptic number.

129046752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 129046752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189827820).

129046752 is an abundant number, since it is smaller than the sum of its proper divisors (250608888).

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

129046752 is a wasteful number, since it uses less digits than its factorization.

129046752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15496 (or 15485 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 129046752 is about 11359.8746471957. The cubic root of 129046752 is about 505.3384679959.

The spelling of 129046752 in words is "one hundred twenty-nine million, forty-six thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 72 87 96 116 144 174 232 261 288 348 464 522 696 928 1044 1392 2088 2784 4176 8352 15451 30902 46353 61804 92706 123608 139059 185412 247216 278118 370824 448079 494432 556236 741648 896158 1112472 1344237 1483296 1792316 2224944 2688474 3584632 4032711 4449888 5376948 7169264 8065422 10753896 14338528 16130844 21507792 32261688 43015584 64523376 129046752