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396132144 = 2438252753
BaseRepresentation
bin10111100111000…
…111111100110000
31000121101121010220
4113213013330300
51302402212034
6103150253040
712550032132
oct2747077460
91017347126
10396132144
11193673a41
12b07b7180
13640b8c25
143a879052
1524b9c749
hex179c7f30

396132144 has 20 divisors (see below), whose sum is σ = 1023341496. Its totient is φ = 132044032.

The previous prime is 396132133. The next prime is 396132161. The reversal of 396132144 is 441231693.

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 3 ways as a sum of consecutive naturals, for example, 4126329 + ... + 4126424.

Almost surely, 2396132144 is an apocalyptic number.

It is an amenable number.

396132144 is an abundant number, since it is smaller than the sum of its proper divisors (627209352).

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

396132144 is a wasteful number, since it uses less digits than its factorization.

396132144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8252764 (or 8252758 counting only the distinct ones).

The product of its digits is 15552, while the sum is 33.

The square root of 396132144 is about 19903.0687081163. The cubic root of 396132144 is about 734.4237196928.

The spelling of 396132144 in words is "three hundred ninety-six million, one hundred thirty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 8252753 16505506 24758259 33011012 49516518 66022024 99033036 132044048 198066072 396132144