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129142752 = 2537118947
BaseRepresentation
bin1111011001010…
…00111111100000
3100000000010112220
413230220333200
5231030032002
620451551040
73125460324
oct754507740
9300003486
10129142752
1166996952
12372bb480
13209a853b
1413219984
15b50e7bc
hex7b28fe0

129142752 has 48 divisors (see below), whose sum is σ = 343792512. Its totient is φ = 42439040.

The previous prime is 129142751. The next prime is 129142777. The reversal of 129142752 is 257241921.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129142751) 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, 2658 + ... + 16289.

It is an arithmetic number, because the mean of its divisors is an integer number (7162344).

Almost surely, 2129142752 is an apocalyptic number.

129142752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

129142752 is an abundant number, since it is smaller than the sum of its proper divisors (214649760).

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

129142752 is a wasteful number, since it uses less digits than its factorization.

129142752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19031 (or 19023 counting only the distinct ones).

The product of its digits is 10080, while the sum is 33.

The square root of 129142752 is about 11364.0992603902. The cubic root of 129142752 is about 505.4637467996.

The spelling of 129142752 in words is "one hundred twenty-nine million, one hundred forty-two thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 71 96 142 213 284 426 568 852 1136 1704 2272 3408 6816 18947 37894 56841 75788 113682 151576 227364 303152 454728 606304 909456 1345237 1818912 2690474 4035711 5380948 8071422 10761896 16142844 21523792 32285688 43047584 64571376 129142752