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381188868 = 223193315051
BaseRepresentation
bin10110101110000…
…111101100000100
3222120021101211020
4112232013230010
51240041020433
6101454111140
712306023544
oct2656075404
9876241736
10381188868
11186197925
12a77ab4b0
1360c86358
14388a9324
15236e9cb3
hex16b87b04

381188868 has 48 divisors (see below), whose sum is σ = 939267840. Its totient is φ = 119988000.

The previous prime is 381188839. The next prime is 381188881. The reversal of 381188868 is 868881183.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 381188868.

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, 72943 + ... + 77993.

It is an arithmetic number, because the mean of its divisors is an integer number (19568080).

Almost surely, 2381188868 is an apocalyptic number.

381188868 is a gapful number since it is divisible by the number (38) 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 381188868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469633920).

381188868 is an abundant number, since it is smaller than the sum of its proper divisors (558078972).

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

381188868 is a wasteful number, since it uses less digits than its factorization.

381188868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5408 (or 5406 counting only the distinct ones).

The product of its digits is 589824, while the sum is 51.

The square root of 381188868 is about 19524.0586969001. The cubic root of 381188868 is about 725.0702226075.

The spelling of 381188868 in words is "three hundred eighty-one million, one hundred eighty-eight thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 228 331 662 993 1324 1986 3972 5051 6289 10102 12578 15153 18867 20204 25156 30306 37734 60612 75468 95969 191938 287907 383876 575814 1151628 1671881 3343762 5015643 6687524 10031286 20062572 31765739 63531478 95297217 127062956 190594434 381188868