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387997632 = 263211219293
BaseRepresentation
bin10111001000000…
…101111111000000
31000001002022200200
4113020011333000
51243311411012
6102300045200
712420632301
oct2710057700
91001068620
10387997632
1118a018400
12a9b33800
13624cb4c9
143975c7a8
15240e23dc
hex17205fc0

387997632 has 252 divisors, whose sum is σ = 1291148040. Its totient is φ = 111006720.

The previous prime is 387997627. The next prime is 387997657. The reversal of 387997632 is 236799783.

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 1324078 + ... + 1324370.

Almost surely, 2387997632 is an apocalyptic number.

387997632 is a gapful number since it is divisible by the number (32) 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 387997632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (645574020).

387997632 is an abundant number, since it is smaller than the sum of its proper divisors (903150408).

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

387997632 is a wasteful number, since it uses less digits than its factorization.

387997632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 328 counting only the distinct ones).

The product of its digits is 3429216, while the sum is 54.

The square root of 387997632 is about 19697.6554950075. The cubic root of 387997632 is about 729.3618191832.

The spelling of 387997632 in words is "three hundred eighty-seven million, nine hundred ninety-seven thousand, six hundred thirty-two".