Search a number
-
+
188081856 = 26322314197
BaseRepresentation
bin10110011010111…
…10011011000000
3111002220112210200
423031132123000
5341122104411
630355125200
74442445414
oct1315363300
9432815720
10188081856
1197192756
1252ba3800
132cc73651
141ad9cd44
15117a2e56
hexb35e6c0

188081856 has 84 divisors (see below), whose sum is σ = 562581552. Its totient is φ = 59963904.

The previous prime is 188081843. The next prime is 188081891. The reversal of 188081856 is 658180881.

It is a happy number.

188081856 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6150 + ... + 20346.

Almost surely, 2188081856 is an apocalyptic number.

188081856 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 188081856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281290776).

188081856 is an abundant number, since it is smaller than the sum of its proper divisors (374499696).

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

188081856 is a wasteful number, since it uses less digits than its factorization.

188081856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14238 (or 14225 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 45.

The square root of 188081856 is about 13714.2938571404. The cubic root of 188081856 is about 572.9485622165.

The spelling of 188081856 in words is "one hundred eighty-eight million, eighty-one thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 64 69 72 92 96 138 144 184 192 207 276 288 368 414 552 576 736 828 1104 1472 1656 2208 3312 4416 6624 13248 14197 28394 42591 56788 85182 113576 127773 170364 227152 255546 326531 340728 454304 511092 653062 681456 908608 979593 1022184 1306124 1362912 1959186 2044368 2612248 2725824 2938779 3918372 4088736 5224496 5877558 7836744 8177472 10448992 11755116 15673488 20897984 23510232 31346976 47020464 62693952 94040928 188081856