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188828892 = 2232747107149
BaseRepresentation
bin10110100000101…
…00110011011100
3111011022111112200
423100110303130
5341320011032
630423131500
74452006360
oct1320246334
9434274480
10188828892
1197652a3a
12532a3b90
1330175695
141b1152a0
151189e47c
hexb414cdc

188828892 has 144 divisors (see below), whose sum is σ = 566092800. Its totient is φ = 51958656.

The previous prime is 188828839. The next prime is 188828917. The reversal of 188828892 is 298828881.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1267234 + ... + 1267382.

It is an arithmetic number, because the mean of its divisors is an integer number (3931200).

Almost surely, 2188828892 is an apocalyptic number.

188828892 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 188828892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283046400).

188828892 is an abundant number, since it is smaller than the sum of its proper divisors (377263908).

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

188828892 is a wasteful number, since it uses less digits than its factorization.

188828892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 315 counting only the distinct ones).

The product of its digits is 1179648, while the sum is 54.

The square root of 188828892 is about 13741.5025379323. The cubic root of 188828892 is about 573.7061185059.

The spelling of 188828892 in words is "one hundred eighty-eight million, eight hundred twenty-eight thousand, eight hundred ninety-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 47 63 84 94 107 126 141 149 188 214 252 282 298 321 329 423 428 447 564 596 642 658 749 846 894 963 987 1043 1284 1316 1341 1498 1692 1788 1926 1974 2086 2247 2682 2961 2996 3129 3852 3948 4172 4494 5029 5364 5922 6258 6741 7003 8988 9387 10058 11844 12516 13482 14006 15087 15943 18774 20116 21009 26964 28012 30174 31886 35203 37548 42018 45261 47829 49021 60348 63027 63772 70406 84036 90522 95658 98042 105609 111601 126054 140812 143487 147063 181044 191316 196084 211218 223202 252108 286974 294126 316827 334803 422436 441189 446404 573948 588252 633654 669606 749321 882378 1004409 1267308 1339212 1498642 1764756 2008818 2247963 2997284 4017636 4495926 5245247 6743889 8991852 10490494 13487778 15735741 20980988 26975556 31471482 47207223 62942964 94414446 188828892