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129244992 = 2631971499
BaseRepresentation
bin1111011010000…
…01111101000000
3100000012022210120
413231001331000
5231041314432
620454100240
73126364362
oct755017500
9300168716
10129244992
1166a56748
123734a680
1320a12c36
1413244d32
15b52ec2c
hex7b41f40

129244992 has 112 divisors (see below), whose sum is σ = 365760000. Its totient is φ = 40158720.

The previous prime is 129244963. The next prime is 129245009. The reversal of 129244992 is 299442921.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 258759 + ... + 259257.

Almost surely, 2129244992 is an apocalyptic number.

129244992 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 129244992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182880000).

129244992 is an abundant number, since it is smaller than the sum of its proper divisors (236515008).

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

129244992 is a wasteful number, since it uses less digits than its factorization.

129244992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604 (or 594 counting only the distinct ones).

The product of its digits is 93312, while the sum is 42.

The square root of 129244992 is about 11368.5967471804. The cubic root of 129244992 is about 505.5971004747.

The spelling of 129244992 in words is "one hundred twenty-nine million, two hundred forty-four thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 71 76 96 114 142 152 192 213 228 284 304 426 456 499 568 608 852 912 998 1136 1216 1349 1497 1704 1824 1996 2272 2698 2994 3408 3648 3992 4047 4544 5396 5988 6816 7984 8094 9481 10792 11976 13632 15968 16188 18962 21584 23952 28443 31936 32376 35429 37924 43168 47904 56886 64752 70858 75848 86336 95808 106287 113772 129504 141716 151696 212574 227544 259008 283432 303392 425148 455088 566864 606784 673151 850296 910176 1133728 1346302 1700592 1820352 2019453 2267456 2692604 3401184 4038906 5385208 6802368 8077812 10770416 16155624 21540832 32311248 43081664 64622496 129244992