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188875152 = 243616193
BaseRepresentation
bin10110100001000…
…00000110010000
3111011101212000000
423100200012100
5341323001102
630424130000
74452261264
oct1320400620
9434355000
10188875152
1197684774
1253306900
133019075b
141b1280a4
15118ad01c
hexb420190

188875152 has 70 divisors (see below), whose sum is σ = 548701302. Its totient is φ = 62954496.

The previous prime is 188875133. The next prime is 188875171. The reversal of 188875152 is 251578881.

It is an interprime number because it is at equal distance from previous prime (188875133) and next prime (188875171).

It can be written as a sum of positive squares in only one way, i.e., 188128656 + 746496 = 13716^2 + 864^2 .

It is a junction number, because it is equal to n+sod(n) for n = 188875098 and 188875107.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 3568 + ... + 19760.

Almost surely, 2188875152 is an apocalyptic number.

188875152 is a gapful number since it is divisible by the number (12) 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 188875152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274350651).

188875152 is an abundant number, since it is smaller than the sum of its proper divisors (359826150).

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

188875152 is an equidigital number, since it uses as much as digits as its factorization.

188875152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16219 (or 16198 counting only the distinct ones).

The product of its digits is 179200, while the sum is 45.

The square root of 188875152 is about 13743.1856568992. The cubic root of 188875152 is about 573.7529642292.

The spelling of 188875152 in words is "one hundred eighty-eight million, eight hundred seventy-five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 729 972 1296 1458 1944 2916 3888 5832 11664 16193 32386 48579 64772 97158 129544 145737 194316 259088 291474 388632 437211 582948 777264 874422 1165896 1311633 1748844 2331792 2623266 3497688 3934899 5246532 6995376 7869798 10493064 11804697 15739596 20986128 23609394 31479192 47218788 62958384 94437576 188875152