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182742168 = 2337379281
BaseRepresentation
bin10101110010001…
…10110010011000
3110201212021010110
422321012302120
5333240222133
630044444320
74346166000
oct1271066230
9421767113
10182742168
1194175994
12512496a0
132bb2407b
141a3ad000
151109ac63
hexae46c98

182742168 has 128 divisors (see below), whose sum is σ = 541440000. Its totient is φ = 51367680.

The previous prime is 182742167. The next prime is 182742169. The reversal of 182742168 is 861247281.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (182742167) and next prime (182742169).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (182742167) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 650188 + ... + 650468.

It is an arithmetic number, because the mean of its divisors is an integer number (4230000).

Almost surely, 2182742168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 182742168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270720000).

182742168 is an abundant number, since it is smaller than the sum of its proper divisors (358697832).

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

182742168 is a wasteful number, since it uses less digits than its factorization.

182742168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 372 counting only the distinct ones).

The product of its digits is 43008, while the sum is 39.

The square root of 182742168 is about 13518.2161545080. The cubic root of 182742168 is about 567.4743781895.

The spelling of 182742168 in words is "one hundred eighty-two million, seven hundred forty-two thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 79 84 98 147 158 168 196 237 281 294 316 343 392 474 553 562 588 632 686 843 948 1029 1106 1124 1176 1372 1659 1686 1896 1967 2058 2212 2248 2744 3318 3372 3871 3934 4116 4424 5901 6636 6744 7742 7868 8232 11613 11802 13272 13769 15484 15736 22199 23226 23604 27097 27538 30968 41307 44398 46452 47208 54194 55076 66597 81291 82614 88796 92904 96383 108388 110152 133194 155393 162582 165228 177592 192766 216776 266388 289149 310786 325164 330456 385532 466179 532776 578298 621572 650328 771064 932358 1087751 1156596 1243144 1864716 2175502 2313192 3263253 3729432 4351004 6526506 7614257 8702008 13053012 15228514 22842771 26106024 30457028 45685542 60914056 91371084 182742168