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188823648 = 25313712131
BaseRepresentation
bin10110100000100…
…11100001100000
3111011022020100110
423100103201200
5341314324043
630423051320
74451655156
oct1320234140
9434266313
10188823648
119764a002
12532a0b40
1330173190
141b1133d6
151189cb33
hexb413860

188823648 has 96 divisors (see below), whose sum is σ = 541562112. Its totient is φ = 57254400.

The previous prime is 188823631. The next prime is 188823671. The reversal of 188823648 is 846328881.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

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

It is a junction number, because it is equal to n+sod(n) for n = 188823597 and 188823606.

It is a congruent number.

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, 87543 + ... + 89673.

It is an arithmetic number, because the mean of its divisors is an integer number (5641272).

Almost surely, 2188823648 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 188823648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270781056).

188823648 is an abundant number, since it is smaller than the sum of its proper divisors (352738464).

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

188823648 is a wasteful number, since it uses less digits than its factorization.

188823648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2228 (or 2220 counting only the distinct ones).

The product of its digits is 589824, while the sum is 48.

The square root of 188823648 is about 13741.3117277791. The cubic root of 188823648 is about 573.7008076259.

The spelling of 188823648 in words is "one hundred eighty-eight million, eight hundred twenty-three thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 71 78 96 104 142 156 208 213 284 312 416 426 568 624 852 923 1136 1248 1704 1846 2131 2272 2769 3408 3692 4262 5538 6393 6816 7384 8524 11076 12786 14768 17048 22152 25572 27703 29536 34096 44304 51144 55406 68192 83109 88608 102288 110812 151301 166218 204576 221624 302602 332436 443248 453903 605204 664872 886496 907806 1210408 1329744 1815612 1966913 2420816 2659488 3631224 3933826 4841632 5900739 7262448 7867652 11801478 14524896 15735304 23602956 31470608 47205912 62941216 94411824 188823648