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132433152 = 283172439
BaseRepresentation
bin1111110010011…
…00010100000000
3100020012022010120
413321030110000
5232400330102
621050300240
73165443325
oct771142400
9306168116
10132433152
1168833a95
1238427680
132158b117
1413834b4c
15b95e6bc
hex7e4c500

132433152 has 36 divisors (see below), whose sum is σ = 352467360. Its totient is φ = 44144128.

The previous prime is 132433141. The next prime is 132433153. The reversal of 132433152 is 251334231.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132433153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 85452 + ... + 86987.

It is an arithmetic number, because the mean of its divisors is an integer number (9790760).

Almost surely, 2132433152 is an apocalyptic number.

132433152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132433152 is an abundant number, since it is smaller than the sum of its proper divisors (220034208).

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

132433152 is an equidigital number, since it uses as much as digits as its factorization.

132433152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172458 (or 172444 counting only the distinct ones).

The product of its digits is 2160, while the sum is 24.

The square root of 132433152 is about 11507.9603753228. The cubic root of 132433152 is about 509.7206620997.

Adding to 132433152 its reverse (251334231), we get a palindrome (383767383).

The spelling of 132433152 in words is "one hundred thirty-two million, four hundred thirty-three thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 768 172439 344878 517317 689756 1034634 1379512 2069268 2759024 4138536 5518048 8277072 11036096 16554144 22072192 33108288 44144384 66216576 132433152