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387427872 = 25313310439
BaseRepresentation
bin10111000101111…
…010111000100000
31000000000101010110
4113011322320200
51243140142442
6102235531320
712413040216
oct2705727040
91000011113
10387427872
11189769327
12a98b9b40
136235c080
1439650cb6
152402d69c
hex1717ae20

387427872 has 48 divisors (see below), whose sum is σ = 1095232320. Its totient is φ = 119208192.

The previous prime is 387427871. The next prime is 387427913. The reversal of 387427872 is 278724783.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (387427871) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 153972 + ... + 156467.

It is an arithmetic number, because the mean of its divisors is an integer number (22817340).

Almost surely, 2387427872 is an apocalyptic number.

387427872 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

387427872 is an abundant number, since it is smaller than the sum of its proper divisors (707804448).

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

387427872 is a wasteful number, since it uses less digits than its factorization.

387427872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310465 (or 310457 counting only the distinct ones).

The product of its digits is 1053696, while the sum is 48.

The square root of 387427872 is about 19683.1875467364. The cubic root of 387427872 is about 729.0046307763.

The spelling of 387427872 in words is "three hundred eighty-seven million, four hundred twenty-seven thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 310439 620878 931317 1241756 1862634 2483512 3725268 4035707 4967024 7450536 8071414 9934048 12107121 14901072 16142828 24214242 29802144 32285656 48428484 64571312 96856968 129142624 193713936 387427872