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387024096 = 25311335677
BaseRepresentation
bin10111000100011…
…000010011100000
3222222020212020210
4113010120103200
51243034232341
6102223134120
712406436064
oct2704302340
9888225223
10387024096
11189512a28
12a9744340
136224a354
1439587aa4
1523e9dc16
hex171184e0

387024096 has 48 divisors (see below), whose sum is σ = 1024957584. Its totient is φ = 127862784.

The previous prime is 387024061. The next prime is 387024137. The reversal of 387024096 is 690420783.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6991 + ... + 28686.

It is an arithmetic number, because the mean of its divisors is an integer number (21353283).

Almost surely, 2387024096 is an apocalyptic number.

It is an amenable number.

387024096 is an abundant number, since it is smaller than the sum of its proper divisors (637933488).

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

387024096 is a wasteful number, since it uses less digits than its factorization.

387024096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35803 (or 35795 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 387024096 is about 19672.9279976317. The cubic root of 387024096 is about 728.7512873690.

It can be divided in two parts, 3870 and 24096, that added together give a triangular number (27966 = T236).

The spelling of 387024096 in words is "three hundred eighty-seven million, twenty-four thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 113 226 339 452 678 904 1356 1808 2712 3616 5424 10848 35677 71354 107031 142708 214062 285416 428124 570832 856248 1141664 1712496 3424992 4031501 8063002 12094503 16126004 24189006 32252008 48378012 64504016 96756024 129008032 193512048 387024096