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188825052 = 223132175477
BaseRepresentation
bin10110100000100…
…11110111011100
3111011022022021110
423100103313130
5341314400202
630423102020
74451662233
oct1320236734
9434268243
10188825052
1197650069
12532a1910
1330173a00
141b113b1a
151189d26c
hexb413ddc

188825052 has 72 divisors (see below), whose sum is σ = 505246896. Its totient is φ = 54672384.

The previous prime is 188825051. The next prime is 188825053. The reversal of 188825052 is 250528881.

It is an interprime number because it is at equal distance from previous prime (188825051) and next prime (188825053).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 188825052.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (188825051) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31738 + ... + 37214.

It is an arithmetic number, because the mean of its divisors is an integer number (7017318).

Almost surely, 2188825052 is an apocalyptic number.

188825052 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 188825052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252623448).

188825052 is an abundant number, since it is smaller than the sum of its proper divisors (316421844).

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

188825052 is a wasteful number, since it uses less digits than its factorization.

188825052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5527 (or 5512 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 39.

The square root of 188825052 is about 13741.3628145101. The cubic root of 188825052 is about 573.7022295417.

The spelling of 188825052 in words is "one hundred eighty-eight million, eight hundred twenty-five thousand, fifty-two".

Divisors: 1 2 3 4 6 12 13 17 26 34 39 51 52 68 78 102 156 169 204 221 338 442 507 663 676 884 1014 1326 2028 2652 2873 5477 5746 8619 10954 11492 16431 17238 21908 32862 34476 65724 71201 93109 142402 186218 213603 279327 284804 372436 427206 558654 854412 925613 1117308 1210417 1851226 2420834 2776839 3631251 3702452 4841668 5553678 7262502 11107356 14525004 15735421 31470842 47206263 62941684 94412526 188825052