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82545204 = 22372791777
BaseRepresentation
bin1001110101110…
…00101000110100
312202022201201210
410322320220310
5132112421304
612105121420
72021423400
oct472705064
9182281653
1082545204
114265a485
1223789270
1314141a21
14ad6a100
1573a7c89
hex4eb8a34

82545204 has 72 divisors (see below), whose sum is σ = 227015040. Its totient is φ = 23272704.

The previous prime is 82545193. The next prime is 82545227. The reversal of 82545204 is 40254528.

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 23 ways as a sum of consecutive naturals, for example, 45564 + ... + 47340.

Almost surely, 282545204 is an apocalyptic number.

82545204 is a gapful number since it is divisible by the number (84) 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 82545204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113507520).

82545204 is an abundant number, since it is smaller than the sum of its proper divisors (144469836).

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

82545204 is a wasteful number, since it uses less digits than its factorization.

82545204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1877 (or 1868 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 30.

The square root of 82545204 is about 9085.4391198224. The cubic root of 82545204 is about 435.4088796554.

The spelling of 82545204 in words is "eighty-two million, five hundred forty-five thousand, two hundred four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 79 84 98 147 158 196 237 294 316 474 553 588 948 1106 1659 1777 2212 3318 3554 3871 5331 6636 7108 7742 10662 11613 12439 15484 21324 23226 24878 37317 46452 49756 74634 87073 140383 149268 174146 261219 280766 348292 421149 522438 561532 842298 982681 1044876 1684596 1965362 2948043 3930724 5896086 6878767 11792172 13757534 20636301 27515068 41272602 82545204