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188536152 = 23372359827
BaseRepresentation
bin10110011110011…
…01010101011000
3111010202121222110
423033031111120
5341231124102
630412552320
74446350040
oct1317152530
9433677873
10188536152
1197473002
12531826a0
13300a236c
141b07a720
151184286c
hexb3cd558

188536152 has 128 divisors (see below), whose sum is σ = 572313600. Its totient is φ = 50590848.

The previous prime is 188536147. The next prime is 188536181. The reversal of 188536152 is 251635881.

It is a super-2 number, since 2×1885361522 = 71091761221934208, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 188536152.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 227563 + ... + 228389.

It is an arithmetic number, because the mean of its divisors is an integer number (4471200).

Almost surely, 2188536152 is an apocalyptic number.

188536152 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 188536152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286156800).

188536152 is an abundant number, since it is smaller than the sum of its proper divisors (383777448).

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

188536152 is a wasteful number, since it uses less digits than its factorization.

188536152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 925 (or 921 counting only the distinct ones).

The product of its digits is 57600, while the sum is 39.

The square root of 188536152 is about 13730.8467328129. The cubic root of 188536152 is about 573.4094944194.

The spelling of 188536152 in words is "one hundred eighty-eight million, five hundred thirty-six thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 23 24 28 42 46 56 59 69 84 92 118 138 161 168 177 184 236 276 322 354 413 472 483 552 644 708 826 827 966 1239 1288 1357 1416 1652 1654 1932 2478 2481 2714 3304 3308 3864 4071 4956 4962 5428 5789 6616 8142 9499 9912 9924 10856 11578 16284 17367 18998 19021 19848 23156 28497 32568 34734 37996 38042 46312 48793 56994 57063 69468 75992 76084 97586 113988 114126 133147 138936 146379 152168 195172 227976 228252 266294 292758 341551 390344 399441 456504 532588 585516 683102 798882 1024653 1065176 1122239 1171032 1366204 1597764 2049306 2244478 2732408 3195528 3366717 4098612 4488956 6733434 7855673 8197224 8977912 13466868 15711346 23567019 26933736 31422692 47134038 62845384 94268076 188536152