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129552948 = 223274112539
BaseRepresentation
bin1111011100011…
…01001000110100
3100000202222020100
413232031020310
5231131143243
620504434100
73132116250
oct756151064
9300688210
10129552948
1167147058
1237478930
1320ac0165
14132c5260
15b5910d3
hex7b8d234

129552948 has 72 divisors (see below), whose sum is σ = 383423040. Its totient is φ = 36109440.

The previous prime is 129552923. The next prime is 129552961. The reversal of 129552948 is 849255921.

It is a happy number.

129552948 is a `hidden beast` number, since 1 + 2 + 9 + 552 + 94 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4063 + ... + 16601.

It is an arithmetic number, because the mean of its divisors is an integer number (5325320).

Almost surely, 2129552948 is an apocalyptic number.

129552948 is a gapful number since it is divisible by the number (18) 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 129552948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191711520).

129552948 is an abundant number, since it is smaller than the sum of its proper divisors (253870092).

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

129552948 is a wasteful number, since it uses less digits than its factorization.

129552948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12597 (or 12592 counting only the distinct ones).

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

The square root of 129552948 is about 11382.1328405532. The cubic root of 129552948 is about 505.9983491851.

The spelling of 129552948 in words is "one hundred twenty-nine million, five hundred fifty-two thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 41 42 63 82 84 123 126 164 246 252 287 369 492 574 738 861 1148 1476 1722 2583 3444 5166 10332 12539 25078 37617 50156 75234 87773 112851 150468 175546 225702 263319 351092 451404 514099 526638 789957 1028198 1053276 1542297 1579914 2056396 3084594 3159828 3598693 4626891 6169188 7197386 9253782 10796079 14394772 18507564 21592158 32388237 43184316 64776474 129552948