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188789952 = 26313431759
BaseRepresentation
bin10110100000010…
…11010011000000
3111011020112010110
423100023103000
5341312234302
630422231320
74451455011
oct1320132300
9434215113
10188789952
119762675a
1253285540
1330160a40
141b105008
1511892b6c
hexb40b4c0

188789952 has 112 divisors (see below), whose sum is σ = 550753280. Its totient is φ = 56706048.

The previous prime is 188789941. The next prime is 188789959. The reversal of 188789952 is 259987881.

It is a junction number, because it is equal to n+sod(n) for n = 188789892 and 188789901.

It is not an unprimeable number, because it can be changed into a prime (188789959) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 106449 + ... + 108207.

It is an arithmetic number, because the mean of its divisors is an integer number (4917440).

Almost surely, 2188789952 is an apocalyptic number.

188789952 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 188789952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275376640).

188789952 is an abundant number, since it is smaller than the sum of its proper divisors (361963328).

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

188789952 is a wasteful number, since it uses less digits than its factorization.

188789952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1830 (or 1820 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 57.

The square root of 188789952 is about 13740.0855892531. The cubic root of 188789952 is about 573.6666795340. Note that the first 4 decimals are identical.

The spelling of 188789952 in words is "one hundred eighty-eight million, seven hundred eighty-nine thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 43 48 52 64 78 86 96 104 129 156 172 192 208 258 312 344 416 516 559 624 688 832 1032 1118 1248 1376 1677 1759 2064 2236 2496 2752 3354 3518 4128 4472 5277 6708 7036 8256 8944 10554 13416 14072 17888 21108 22867 26832 28144 35776 42216 45734 53664 56288 68601 75637 84432 91468 107328 112576 137202 151274 168864 182936 226911 274404 302548 337728 365872 453822 548808 605096 731744 907644 983281 1097616 1210192 1463488 1815288 1966562 2195232 2420384 2949843 3630576 3933124 4390464 4840768 5899686 7261152 7866248 11799372 14522304 15732496 23598744 31464992 47197488 62929984 94394976 188789952