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129152952 = 23324167653
BaseRepresentation
bin1111011001010…
…11011110111000
3100000000122112200
413230223132320
5231030343302
620452110200
73125532135
oct754533670
9300018480
10129152952
11669a3585
1237305360
13209b0086
141321d58c
15b51281c
hex7b2b7b8

129152952 has 96 divisors (see below), whose sum is σ = 364225680. Its totient is φ = 41310720.

The previous prime is 129152923. The next prime is 129152963. The reversal of 129152952 is 259251921.

It is a happy number.

129152952 is a `hidden beast` number, since 129 + 1 + 529 + 5 + 2 = 666.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 197458 + ... + 198110.

Almost surely, 2129152952 is an apocalyptic number.

129152952 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 129152952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182112840).

129152952 is an abundant number, since it is smaller than the sum of its proper divisors (235072728).

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

129152952 is a wasteful number, since it uses less digits than its factorization.

129152952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 773 (or 766 counting only the distinct ones).

The product of its digits is 16200, while the sum is 36.

The square root of 129152952 is about 11364.5480332480. The cubic root of 129152952 is about 505.4770540233.

The spelling of 129152952 in words is "one hundred twenty-nine million, one hundred fifty-two thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 41 67 72 82 123 134 164 201 246 268 328 369 402 492 536 603 653 738 804 984 1206 1306 1476 1608 1959 2412 2612 2747 2952 3918 4824 5224 5494 5877 7836 8241 10988 11754 15672 16482 21976 23508 24723 26773 32964 43751 47016 49446 53546 65928 80319 87502 98892 107092 131253 160638 175004 197784 214184 240957 262506 321276 350008 393759 481914 525012 642552 787518 963828 1050024 1575036 1793791 1927656 3150072 3587582 5381373 7175164 10762746 14350328 16144119 21525492 32288238 43050984 64576476 129152952