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129673488 = 2437419413
BaseRepresentation
bin1111011101010…
…10100100010000
3100001000002120210
413232222210100
5231144022423
620511204120
73133130550
oct756524420
9301002523
10129673488
116721967a
1237516640
1320b32c99
1413317160
15b5b6b93
hex7baa910

129673488 has 80 divisors (see below), whose sum is σ = 392224896. Its totient is φ = 36142080.

The previous prime is 129673487. The next prime is 129673519. The reversal of 129673488 is 884376921.

It is a super-2 number, since 2×1296734882 = 33630426980172288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (129673483) 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 15 ways as a sum of consecutive naturals, for example, 9070 + ... + 18482.

Almost surely, 2129673488 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 129673488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196112448).

129673488 is an abundant number, since it is smaller than the sum of its proper divisors (262551408).

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

129673488 is a wasteful number, since it uses less digits than its factorization.

129673488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9472 (or 9466 counting only the distinct ones).

The product of its digits is 580608, while the sum is 48.

The square root of 129673488 is about 11387.4267505877. The cubic root of 129673488 is about 506.1552326193.

The spelling of 129673488 in words is "one hundred twenty-nine million, six hundred seventy-three thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 41 42 48 56 82 84 112 123 164 168 246 287 328 336 492 574 656 861 984 1148 1722 1968 2296 3444 4592 6888 9413 13776 18826 28239 37652 56478 65891 75304 112956 131782 150608 197673 225912 263564 385933 395346 451824 527128 771866 790692 1054256 1157799 1543732 1581384 2315598 2701531 3087464 3162768 4631196 5403062 6174928 8104593 9262392 10806124 16209186 18524784 21612248 32418372 43224496 64836744 129673488