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388233888 = 25371374217
BaseRepresentation
bin10111001000111…
…111101010100000
31000001112022202220
4113020333222200
51243341441023
6102305111040
712422635140
oct2710775240
91001468686
10388233888
1118a169959
12aa028480
1362581bc3
14397c0920
152413c3e3
hex1723faa0

388233888 has 96 divisors (see below), whose sum is σ = 1173481344. Its totient is φ = 110088192.

The previous prime is 388233877. The next prime is 388233899. The reversal of 388233888 is 888332883.

It is an interprime number because it is at equal distance from previous prime (388233877) and next prime (388233899).

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 388233888.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 89956 + ... + 94172.

It is an arithmetic number, because the mean of its divisors is an integer number (12223764).

Almost surely, 2388233888 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 388233888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (586740672).

388233888 is an abundant number, since it is smaller than the sum of its proper divisors (785247456).

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

388233888 is a wasteful number, since it uses less digits than its factorization.

388233888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4374 (or 4366 counting only the distinct ones).

The product of its digits is 1769472, while the sum is 51.

The square root of 388233888 is about 19703.6516412568. The cubic root of 388233888 is about 729.5098279411.

The spelling of 388233888 in words is "three hundred eighty-eight million, two hundred thirty-three thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 137 168 224 274 336 411 548 672 822 959 1096 1644 1918 2192 2877 3288 3836 4217 4384 5754 6576 7672 8434 11508 12651 13152 15344 16868 23016 25302 29519 30688 33736 46032 50604 59038 67472 88557 92064 101208 118076 134944 177114 202416 236152 354228 404832 472304 577729 708456 944608 1155458 1416912 1733187 2310916 2833824 3466374 4044103 4621832 6932748 8088206 9243664 12132309 13865496 16176412 18487328 24264618 27730992 32352824 48529236 55461984 64705648 97058472 129411296 194116944 388233888