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188381376 = 263512113
BaseRepresentation
bin10110011101001…
…11100011000000
3111010110202200000
423032213203000
5341211201001
630405400000
74445133561
oct1316474300
9433422600
10188381376
1197377797
1253109000
1330049a91
141b03a168
1511811a86
hexb3a78c0

188381376 has 84 divisors (see below), whose sum is σ = 560005992. Its totient is φ = 62788608.

The previous prime is 188381363. The next prime is 188381381. The reversal of 188381376 is 673183881.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9496 + ... + 21608.

It is an arithmetic number, because the mean of its divisors is an integer number (6666738).

Almost surely, 2188381376 is an apocalyptic number.

188381376 is a gapful number since it is divisible by the number (16) 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 188381376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280002996).

188381376 is an abundant number, since it is smaller than the sum of its proper divisors (371624616).

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

188381376 is an equidigital number, since it uses as much as digits as its factorization.

188381376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12140 (or 12118 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The square root of 188381376 is about 13725.2095065977. The cubic root of 188381376 is about 573.2525407457.

The spelling of 188381376 in words is "one hundred eighty-eight million, three hundred eighty-one thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 243 288 324 432 486 576 648 864 972 1296 1728 1944 2592 3888 5184 7776 12113 15552 24226 36339 48452 72678 96904 109017 145356 193808 218034 290712 327051 387616 436068 581424 654102 775232 872136 981153 1162848 1308204 1744272 1962306 2325696 2616408 2943459 3488544 3924612 5232816 5886918 6977088 7849224 10465632 11773836 15698448 20931264 23547672 31396896 47095344 62793792 94190688 188381376