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81813204 = 223211415039
BaseRepresentation
bin1001110000001…
…01111011010100
312200221112121200
410320011323110
5131421010304
612041312500
72012254314
oct470057324
9180845550
1081813204
11421aa520
1223495730
1313c467a5
14ac19444
1572b0e39
hex4e05ed4

81813204 has 72 divisors (see below), whose sum is σ = 231154560. Its totient is φ = 24182400.

The previous prime is 81813191. The next prime is 81813233. The reversal of 81813204 is 40231818.

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, 13717 + ... + 18755.

It is an arithmetic number, because the mean of its divisors is an integer number (3210480).

Almost surely, 281813204 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 81813204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115577280).

81813204 is an abundant number, since it is smaller than the sum of its proper divisors (149341356).

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

81813204 is a wasteful number, since it uses less digits than its factorization.

81813204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5101 (or 5096 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 81813204 is about 9045.0651738945. The cubic root of 81813204 is about 434.1180068013.

The spelling of 81813204 in words is "eighty-one million, eight hundred thirteen thousand, two hundred four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 41 44 66 82 99 123 132 164 198 246 369 396 451 492 738 902 1353 1476 1804 2706 4059 5039 5412 8118 10078 15117 16236 20156 30234 45351 55429 60468 90702 110858 166287 181404 206599 221716 332574 413198 498861 619797 665148 826396 997722 1239594 1859391 1995444 2272589 2479188 3718782 4545178 6817767 7437564 9090356 13635534 20453301 27271068 40906602 81813204