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81852608 = 261983811
BaseRepresentation
bin1001110000011…
…11100011000000
312201000112200002
410320033203000
5131423240413
612042215132
72012510225
oct470174300
9181015602
1081852608
1142227092
12234b44a8
1313c5b6c6
14ac2994c
1572bc958
hex4e0f8c0

81852608 has 56 divisors (see below), whose sum is σ = 173248320. Its totient is φ = 38257920.

The previous prime is 81852601. The next prime is 81852649. The reversal of 81852608 is 80625818.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81852601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 100523 + ... + 101333.

It is an arithmetic number, because the mean of its divisors is an integer number (3093720).

Almost surely, 281852608 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 81852608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86624160).

81852608 is an abundant number, since it is smaller than the sum of its proper divisors (91395712).

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

81852608 is a wasteful number, since it uses less digits than its factorization.

81852608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 925 (or 915 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 38.

The square root of 81852608 is about 9047.2431159995. The cubic root of 81852608 is about 434.1876909092.

The spelling of 81852608 in words is "eighty-one million, eight hundred fifty-two thousand, six hundred eight".

Divisors: 1 2 4 8 16 19 32 38 64 76 83 152 166 304 332 608 664 811 1216 1328 1577 1622 2656 3154 3244 5312 6308 6488 12616 12976 15409 25232 25952 30818 50464 51904 61636 67313 100928 123272 134626 246544 269252 493088 538504 986176 1077008 1278947 2154016 2557894 4308032 5115788 10231576 20463152 40926304 81852608