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132493392 = 24321078599
BaseRepresentation
bin1111110010110…
…11000001010000
3100020022100202200
413321123001100
5232404242032
621051443200
73166114053
oct771330120
9306270680
10132493392
1168875279
1238456500
13215ac675
141384ca9a
15b97247c
hex7e5b050

132493392 has 60 divisors (see below), whose sum is σ = 374306400. Its totient is φ = 43746624.

The previous prime is 132493391. The next prime is 132493421. The reversal of 132493392 is 293394231.

132493392 is a `hidden beast` number, since 132 + 493 + 39 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132493391) 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 11 ways as a sum of consecutive naturals, for example, 11109 + ... + 19707.

It is an arithmetic number, because the mean of its divisors is an integer number (6238440).

Almost surely, 2132493392 is an apocalyptic number.

132493392 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132493392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187153200).

132493392 is an abundant number, since it is smaller than the sum of its proper divisors (241813008).

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

132493392 is a wasteful number, since it uses less digits than its factorization.

132493392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8720 (or 8711 counting only the distinct ones).

The product of its digits is 34992, while the sum is 36.

The square root of 132493392 is about 11510.5773964645. The cubic root of 132493392 is about 509.7979360997.

It can be divided in two parts, 13249 and 3392, that added together give a square (16641 = 1292).

The spelling of 132493392 in words is "one hundred thirty-two million, four hundred ninety-three thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 107 144 214 321 428 642 856 963 1284 1712 1926 2568 3852 5136 7704 8599 15408 17198 25797 34396 51594 68792 77391 103188 137584 154782 206376 309564 412752 619128 920093 1238256 1840186 2760279 3680372 5520558 7360744 8280837 11041116 14721488 16561674 22082232 33123348 44164464 66246696 132493392