Search a number
-
+
129548952 = 233213138407
BaseRepresentation
bin1111011100011…
…00001010011000
3100000202202202100
413232030022120
5231131031302
620504403400
73132101511
oct756141230
9300682670
10129548952
1167144055
1237476560
1320abb3b0
14132c3a08
15b58ed1c
hex7b8c298

129548952 has 48 divisors (see below), whose sum is σ = 377853840. Its totient is φ = 39860928.

The previous prime is 129548929. The next prime is 129548953. The reversal of 129548952 is 259845921.

It is a happy number.

129548952 is a `hidden beast` number, since 12 + 9 + 548 + 95 + 2 = 666.

It is a super-3 number, since 3×1295489523 (a number of 25 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 129548898 and 129548907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129548953) 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, 68268 + ... + 70139.

It is an arithmetic number, because the mean of its divisors is an integer number (7871955).

Almost surely, 2129548952 is an apocalyptic number.

129548952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

129548952 is an abundant number, since it is smaller than the sum of its proper divisors (248304888).

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

129548952 is a wasteful number, since it uses less digits than its factorization.

129548952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138432 (or 138425 counting only the distinct ones).

The product of its digits is 259200, while the sum is 45.

The square root of 129548952 is about 11381.9573009215. The cubic root of 129548952 is about 505.9931467042.

It can be divided in two parts, 129 and 548952, that added together give a square (549081 = 7412).

The spelling of 129548952 in words is "one hundred twenty-nine million, five hundred forty-eight thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 138407 276814 415221 553628 830442 1107256 1245663 1660884 1799291 2491326 3321768 3598582 4982652 5397873 7197164 9965304 10795746 14394328 16193619 21591492 32387238 43182984 64774476 129548952