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132242552 = 231329163269
BaseRepresentation
bin1111110000111…
…01110001111000
3100012211121200022
413320131301320
5232323230202
621042230012
73164020541
oct770356170
9305747608
10132242552
1168713872
1238355308
1321522440
14137c54c8
15b922ea2
hex7e1dc78

132242552 has 64 divisors (see below), whose sum is σ = 278964000. Its totient is φ = 58351104.

The previous prime is 132242549. The next prime is 132242569. The reversal of 132242552 is 255242231.

132242552 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (26).

132242552 is a Rhonda number in base 10.

Its product of digits (4800) is a multiple of the sum of its prime factors (480).

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, 491474 + ... + 491742.

Almost surely, 2132242552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132242552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139482000).

132242552 is an abundant number, since it is smaller than the sum of its proper divisors (146721448).

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

132242552 is a wasteful number, since it uses less digits than its factorization.

132242552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 476 counting only the distinct ones).

The product of its digits is 4800, while the sum is 26.

The square root of 132242552 is about 11499.6761693536. The cubic root of 132242552 is about 509.4760118693.

Adding to 132242552 its reverse (255242231), we get a palindrome (387484783).

The spelling of 132242552 in words is "one hundred thirty-two million, two hundred forty-two thousand, five hundred fifty-two".

Divisors: 1 2 4 8 13 26 29 52 58 104 116 163 232 269 326 377 538 652 754 1076 1304 1508 2119 2152 3016 3497 4238 4727 6994 7801 8476 9454 13988 15602 16952 18908 27976 31204 37816 43847 61451 62408 87694 101413 122902 175388 202826 245804 350776 405652 491608 570011 811304 1140022 1271563 2280044 2543126 4560088 5086252 10172504 16530319 33060638 66121276 132242552