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129439464 = 23371189787
BaseRepresentation
bin1111011011100…
…01011011101000
3100000120012120020
413231301123220
5231114030324
620502200440
73131134350
oct755613350
9300505506
10129439464
1167079870
1237423120
1320a805cb
1413295b60
15b56c679
hex7b716e8

129439464 has 128 divisors (see below), whose sum is σ = 408499200. Its totient is φ = 33200640.

The previous prime is 129439463. The next prime is 129439481. The reversal of 129439464 is 464934921.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (129439463) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 164079 + ... + 164865.

It is an arithmetic number, because the mean of its divisors is an integer number (3191400).

Almost surely, 2129439464 is an apocalyptic number.

129439464 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 129439464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204249600).

129439464 is an abundant number, since it is smaller than the sum of its proper divisors (279059736).

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

129439464 is a wasteful number, since it uses less digits than its factorization.

129439464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 903 (or 899 counting only the distinct ones).

The product of its digits is 186624, while the sum is 42.

The square root of 129439464 is about 11377.1465666924. The cubic root of 129439464 is about 505.8505602116.

The spelling of 129439464 in words is "one hundred twenty-nine million, four hundred thirty-nine thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 89 132 154 168 178 231 264 267 308 356 462 534 616 623 712 787 924 979 1068 1246 1574 1848 1869 1958 2136 2361 2492 2937 3148 3738 3916 4722 4984 5509 5874 6296 6853 7476 7832 8657 9444 11018 11748 13706 14952 16527 17314 18888 20559 22036 23496 25971 27412 33054 34628 41118 44072 51942 54824 60599 66108 69256 70043 82236 103884 121198 132216 140086 164472 181797 207768 210129 242396 280172 363594 420258 484792 490301 560344 727188 770473 840516 980602 1454376 1470903 1540946 1681032 1961204 2311419 2941806 3081892 3922408 4622838 5393311 5883612 6163784 9245676 10786622 11767224 16179933 18491352 21573244 32359866 43146488 64719732 129439464