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81826932 = 22311718731
BaseRepresentation
bin1001110000010…
…01010001110100
312200222020110010
410320021101310
5131421430212
612041500220
72012342325
oct470112164
9180866403
1081826932
1142209870
12234a1670
1313c4cb05
14ac2044c
1572b503c
hex4e09474

81826932 has 48 divisors (see below), whose sum is σ = 211244544. Its totient is φ = 24444000.

The previous prime is 81826909. The next prime is 81826957. The reversal of 81826932 is 23962818.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 5007 + ... + 13737.

It is an arithmetic number, because the mean of its divisors is an integer number (4400928).

Almost surely, 281826932 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 81826932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105622272).

81826932 is an abundant number, since it is smaller than the sum of its proper divisors (129417612).

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

81826932 is a wasteful number, since it uses less digits than its factorization.

81826932 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8820 (or 8818 counting only the distinct ones).

The product of its digits is 41472, while the sum is 39.

The square root of 81826932 is about 9045.8240089005. The cubic root of 81826932 is about 434.1422866584.

The spelling of 81826932 in words is "eighty-one million, eight hundred twenty-six thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 71 132 142 213 284 426 781 852 1562 2343 3124 4686 8731 9372 17462 26193 34924 52386 96041 104772 192082 288123 384164 576246 619901 1152492 1239802 1859703 2479604 3719406 6818911 7438812 13637822 20456733 27275644 40913466 81826932