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129097444 = 22729173919
BaseRepresentation
bin1111011000111…
…01111011100100
322222220211101211
413230131323210
5231022104234
620451001204
73125211250
oct754357344
9288824354
10129097444
1166965903
1237299204
1320990a28
1413207260
15b501164
hex7b1dee4

129097444 has 48 divisors (see below), whose sum is σ = 268934400. Its totient is φ = 53053056.

The previous prime is 129097433. The next prime is 129097471. The reversal of 129097444 is 444790921.

It is a junction number, because it is equal to n+sod(n) for n = 129097397 and 129097406.

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 15 ways as a sum of consecutive naturals, for example, 140017 + ... + 140935.

It is an arithmetic number, because the mean of its divisors is an integer number (5602800).

Almost surely, 2129097444 is an apocalyptic number.

129097444 is a gapful number since it is divisible by the number (14) 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 129097444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134467200).

129097444 is an abundant number, since it is smaller than the sum of its proper divisors (139836956).

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

129097444 is a wasteful number, since it uses less digits than its factorization.

129097444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1132 (or 1130 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 40.

The square root of 129097444 is about 11362.1056147177. The cubic root of 129097444 is about 505.4046281632.

The spelling of 129097444 in words is "one hundred twenty-nine million, ninety-seven thousand, four hundred forty-four".

Divisors: 1 2 4 7 14 28 29 58 116 173 203 346 406 692 812 919 1211 1838 2422 3676 4844 5017 6433 10034 12866 20068 25732 26651 35119 53302 70238 106604 140476 158987 186557 317974 373114 635948 746228 1112909 2225818 4451636 4610623 9221246 18442492 32274361 64548722 129097444