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132549952 = 2617294201
BaseRepresentation
bin1111110011010…
…00110101000000
3100020102020100111
413321220311000
5232413044302
621053001104
73166441003
oct771506500
9306366314
10132549952
1168903817
1238483194
13215cc332
141386553a
15b9840d7
hex7e68d40

132549952 has 56 divisors (see below), whose sum is σ = 288173160. Its totient is φ = 60211200.

The previous prime is 132549941. The next prime is 132549959. The reversal of 132549952 is 259945231.

It can be written as a sum of positive squares in 4 ways, for example, as 10137856 + 122412096 = 3184^2 + 11064^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132549959) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29452 + ... + 33652.

Almost surely, 2132549952 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 132549952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144086580).

132549952 is an abundant number, since it is smaller than the sum of its proper divisors (155623208).

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

132549952 is a wasteful number, since it uses less digits than its factorization.

132549952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4259 (or 4249 counting only the distinct ones).

The product of its digits is 97200, while the sum is 40.

The square root of 132549952 is about 11513.0340049876. The cubic root of 132549952 is about 509.8704681931.

The spelling of 132549952 in words is "one hundred thirty-two million, five hundred forty-nine thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 16 17 29 32 34 58 64 68 116 136 232 272 464 493 544 928 986 1088 1856 1972 3944 4201 7888 8402 15776 16804 31552 33608 67216 71417 121829 134432 142834 243658 268864 285668 487316 571336 974632 1142672 1949264 2071093 2285344 3898528 4142186 4570688 7797056 8284372 16568744 33137488 66274976 132549952