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129284892 = 2232111917183
BaseRepresentation
bin1111011010010…
…11101100011100
3100000021100112100
413231023230130
5231044104032
620455005100
73126621612
oct755135434
9300240470
10129284892
1166a83720
1237369790
1320a28149
14132556b2
15b53b97c
hex7b4bb1c

129284892 has 72 divisors (see below), whose sum is σ = 375298560. Its totient is φ = 37113120.

The previous prime is 129284833. The next prime is 129284893. The reversal of 129284892 is 298482921.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129284893) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1068 + ... + 16115.

It is an arithmetic number, because the mean of its divisors is an integer number (5212480).

Almost surely, 2129284892 is an apocalyptic number.

129284892 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 129284892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187649280).

129284892 is an abundant number, since it is smaller than the sum of its proper divisors (246013668).

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

129284892 is a wasteful number, since it uses less digits than its factorization.

129284892 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17223 (or 17218 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The square root of 129284892 is about 11370.3514457558. The cubic root of 129284892 is about 505.6491237638.

The spelling of 129284892 in words is "one hundred twenty-nine million, two hundred eighty-four thousand, eight hundred ninety-two".

Divisors: 1 2 3 4 6 9 11 12 18 19 22 33 36 38 44 57 66 76 99 114 132 171 198 209 228 342 396 418 627 684 836 1254 1881 2508 3762 7524 17183 34366 51549 68732 103098 154647 189013 206196 309294 326477 378026 567039 618588 652954 756052 979431 1134078 1305908 1701117 1958862 2268156 2938293 3402234 3591247 3917724 5876586 6804468 7182494 10773741 11753172 14364988 21547482 32321223 43094964 64642446 129284892