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129483948 = 223112114649
BaseRepresentation
bin1111011011111…
…00010010101100
3100000122110120210
413231330102230
5231121441243
620503142420
73131411136
oct755742254
9300573523
10129483948
11670aa230
1237444a10
1320a97929
14132a8056
15b57a933
hex7b7c4ac

129483948 has 48 divisors (see below), whose sum is σ = 331228800. Its totient is φ = 39043200.

The previous prime is 129483947. The next prime is 129483973. The reversal of 129483948 is 849384921.

It is a junction number, because it is equal to n+sod(n) for n = 129483897 and 129483906.

It is not an unprimeable number, because it can be changed into a prime (129483943) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25528 + ... + 30176.

It is an arithmetic number, because the mean of its divisors is an integer number (6900600).

Almost surely, 2129483948 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 129483948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165614400).

129483948 is an abundant number, since it is smaller than the sum of its proper divisors (201744852).

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

129483948 is a wasteful number, since it uses less digits than its factorization.

129483948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4878 (or 4876 counting only the distinct ones).

The product of its digits is 497664, while the sum is 48.

The square root of 129483948 is about 11379.1013704949. The cubic root of 129483948 is about 505.9085015286.

The spelling of 129483948 in words is "one hundred twenty-nine million, four hundred eighty-three thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 211 422 633 844 1266 2321 2532 4642 4649 6963 9284 9298 13926 13947 18596 27852 27894 51139 55788 102278 153417 204556 306834 613668 980939 1961878 2942817 3923756 5885634 10790329 11771268 21580658 32370987 43161316 64741974 129483948