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132563452 = 22737199643
BaseRepresentation
bin1111110011011…
…00000111111100
3100020102220212111
413321230013330
5232414012302
621053143404
73166525240
oct771540774
9306386774
10132563452
116891297a
123848ab64
1321605518
141386a420
15b9880d7
hex7e6c1fc

132563452 has 48 divisors (see below), whose sum is σ = 274086400. Its totient is φ = 54914112.

The previous prime is 132563449. The next prime is 132563491. The reversal of 132563452 is 254365231.

It is a happy number.

132563452 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 205843 + ... + 206485.

Almost surely, 2132563452 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 132563452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137043200).

132563452 is an abundant number, since it is smaller than the sum of its proper divisors (141522948).

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

132563452 is a wasteful number, since it uses less digits than its factorization.

132563452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 890 (or 888 counting only the distinct ones).

The product of its digits is 21600, while the sum is 31.

The square root of 132563452 is about 11513.6202820833. The cubic root of 132563452 is about 509.8877774353.

The spelling of 132563452 in words is "one hundred thirty-two million, five hundred sixty-three thousand, four hundred fifty-two".

Divisors: 1 2 4 7 14 28 37 74 148 199 259 398 518 643 796 1036 1286 1393 2572 2786 4501 5572 7363 9002 14726 18004 23791 29452 47582 51541 95164 103082 127957 166537 206164 255914 333074 511828 666148 895699 1791398 3582796 4734409 9468818 18937636 33140863 66281726 132563452