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132245952 = 2632329947
BaseRepresentation
bin1111110000111…
…10100111000000
3100012211210100020
413320132213000
5232323332302
621042253440
73164033466
oct770364700
9305753306
10132245952
1168716383
1238357280
1321523b57
14137c6836
15b923ebc
hex7e1e9c0

132245952 has 56 divisors (see below), whose sum is σ = 365126016. Its totient is φ = 42163968.

The previous prime is 132245933. The next prime is 132245957. The reversal of 132245952 is 259542231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132245957) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10558 + ... + 19389.

Almost surely, 2132245952 is an apocalyptic number.

132245952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132245952 is an abundant number, since it is smaller than the sum of its proper divisors (232880064).

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

132245952 is a wasteful number, since it uses less digits than its factorization.

132245952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29985 (or 29975 counting only the distinct ones).

The product of its digits is 21600, while the sum is 33.

The square root of 132245952 is about 11499.8239986532. The cubic root of 132245952 is about 509.4803780978.

It can be divided in two parts, 1322 and 45952, that added together give a palindrome (47274).

The spelling of 132245952 in words is "one hundred thirty-two million, two hundred forty-five thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 138 184 192 276 368 552 736 1104 1472 2208 4416 29947 59894 89841 119788 179682 239576 359364 479152 688781 718728 958304 1377562 1437456 1916608 2066343 2755124 2874912 4132686 5510248 5749824 8265372 11020496 16530744 22040992 33061488 44081984 66122976 132245952