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132452352 = 212323593
BaseRepresentation
bin1111110010100…
…01000000000000
3100020020021110200
413321101000000
5232401433402
621050525200
73165553314
oct771210000
9306207420
10132452352
116884745a
1238436800
1321596a96
141383bb44
15b96521c
hex7e51000

132452352 has 78 divisors (see below), whose sum is σ = 382699902. Its totient is φ = 44138496.

The previous prime is 132452351. The next prime is 132452371. The reversal of 132452352 is 253254231.

It is a happy number.

132452352 is a `hidden beast` number, since 132 + 4 + 523 + 5 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 103550976 + 28901376 = 10176^2 + 5376^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132452351) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 35068 + ... + 38660.

It is an arithmetic number, because the mean of its divisors is an integer number (4906409).

Almost surely, 2132452352 is an apocalyptic number.

132452352 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 132452352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191349951).

132452352 is an abundant number, since it is smaller than the sum of its proper divisors (250247550).

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

132452352 is an equidigital number, since it uses as much as digits as its factorization.

132452352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3623 (or 3598 counting only the distinct ones).

The product of its digits is 7200, while the sum is 27.

The square root of 132452352 is about 11508.7945502559. The cubic root of 132452352 is about 509.7452938067.

The spelling of 132452352 in words is "one hundred thirty-two million, four hundred fifty-two thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2048 2304 3072 3593 4096 4608 6144 7186 9216 10779 12288 14372 18432 21558 28744 32337 36864 43116 57488 64674 86232 114976 129348 172464 229952 258696 344928 459904 517392 689856 919808 1034784 1379712 1839616 2069568 2759424 3679232 4139136 5518848 7358464 8278272 11037696 14716928 16556544 22075392 33113088 44150784 66226176 132452352