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133232352 = 25311711777
BaseRepresentation
bin1111111000011…
…11011011100000
3100021200220102120
413330033123200
5233101413402
621115344240
73205312341
oct774173340
9307626376
10133232352
116922a490
1238752080
13217aab16
14139a20c8
15ba6b3bc
hex7f0f6e0

133232352 has 96 divisors (see below), whose sum is σ = 387120384. Its totient is φ = 39782400.

The previous prime is 133232321. The next prime is 133232387. The reversal of 133232352 is 253232331.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74088 + ... + 75864.

It is an arithmetic number, because the mean of its divisors is an integer number (4032504).

Almost surely, 2133232352 is an apocalyptic number.

133232352 is a gapful number since it is divisible by the number (12) 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 133232352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193560192).

133232352 is an abundant number, since it is smaller than the sum of its proper divisors (253888032).

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

133232352 is a wasteful number, since it uses less digits than its factorization.

133232352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1872 (or 1864 counting only the distinct ones).

The product of its digits is 3240, while the sum is 24.

The square root of 133232352 is about 11542.6319355682. The cubic root of 133232352 is about 510.7439507756.

Adding to 133232352 its reverse (253232331), we get a palindrome (386464683).

The spelling of 133232352 in words is "one hundred thirty-three million, two hundred thirty-two thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 71 88 96 132 142 176 213 264 284 352 426 528 568 781 852 1056 1136 1562 1704 1777 2272 2343 3124 3408 3554 4686 5331 6248 6816 7108 9372 10662 12496 14216 18744 19547 21324 24992 28432 37488 39094 42648 56864 58641 74976 78188 85296 117282 126167 156376 170592 234564 252334 312752 378501 469128 504668 625504 757002 938256 1009336 1387837 1514004 1876512 2018672 2775674 3028008 4037344 4163511 5551348 6056016 8327022 11102696 12112032 16654044 22205392 33308088 44410784 66616176 133232352