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129242792 = 23722911369
BaseRepresentation
bin1111011010000…
…01011010101000
3100000012012210002
413231001122220
5231041232132
620454042132
73126355100
oct755013250
9300165702
10129242792
1166a55028
1237349348
1320a11c33
1413244200
15b52e262
hex7b416a8

129242792 has 48 divisors (see below), whose sum is σ = 291640500. Its totient is φ = 53475072.

The previous prime is 129242767. The next prime is 129242797. The reversal of 129242792 is 297242921.

It can be written as a sum of positive squares in 2 ways, for example, as 128913316 + 329476 = 11354^2 + 574^2 .

It is not an unprimeable number, because it can be changed into a prime (129242797) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 5684 + ... + 17052.

Almost surely, 2129242792 is an apocalyptic number.

It is a pronic number, being equal to 11368×11369.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 129242792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145820250).

129242792 is an abundant number, since it is smaller than the sum of its proper divisors (162397708).

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

129242792 is a wasteful number, since it uses less digits than its factorization.

129242792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11418 (or 11407 counting only the distinct ones).

The product of its digits is 36288, while the sum is 38.

The square root of 129242792 is about 11368.4999890047. The cubic root of 129242792 is about 505.5942317113.

The spelling of 129242792 in words is "one hundred twenty-nine million, two hundred forty-two thousand, seven hundred ninety-two".

Divisors: 1 2 4 7 8 14 28 29 49 56 58 98 116 196 203 232 392 406 812 1421 1624 2842 5684 11368 11369 22738 45476 79583 90952 159166 318332 329701 557081 636664 659402 1114162 1318804 2228324 2307907 2637608 4456648 4615814 9231628 16155349 18463256 32310698 64621396 129242792