Search a number
-
+
388003872 = 25327714591
BaseRepresentation
bin10111001000000…
…111100000100000
31000001002122020210
4113020013200200
51243312110442
6102300134120
712420656424
oct2710074040
91001078223
10388003872
1118a022063
12a9b37340
13625012b9
1439760b84
15240e419c
hex17207820

388003872 has 48 divisors (see below), whose sum is σ = 1022257152. Its totient is φ = 128858880.

The previous prime is 388003849. The next prime is 388003873. The reversal of 388003872 is 278300883.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 388003872.

It is not an unprimeable number, because it can be changed into a prime (388003873) 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, 19297 + ... + 33887.

It is an arithmetic number, because the mean of its divisors is an integer number (21297024).

Almost surely, 2388003872 is an apocalyptic number.

388003872 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

388003872 is an abundant number, since it is smaller than the sum of its proper divisors (634253280).

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

388003872 is a wasteful number, since it uses less digits than its factorization.

388003872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14881 (or 14873 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 388003872 is about 19697.8138888558. The cubic root of 388003872 is about 729.3657291670.

The spelling of 388003872 in words is "three hundred eighty-eight million, three thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 277 554 831 1108 1662 2216 3324 4432 6648 8864 13296 14591 26592 29182 43773 58364 87546 116728 175092 233456 350184 466912 700368 1400736 4041707 8083414 12125121 16166828 24250242 32333656 48500484 64667312 97000968 129334624 194001936 388003872