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81812632 = 231119167293
BaseRepresentation
bin1001110000001…
…01110010011000
312200221111211111
410320011302120
5131421001012
612041310104
72012252536
oct470056230
9180844744
1081812632
11421aa050
1223495334
1313c46455
14ac19156
1572b0ba7
hex4e05c98

81812632 has 64 divisors (see below), whose sum is σ = 177811200. Its totient is φ = 34899840.

The previous prime is 81812623. The next prime is 81812639. The reversal of 81812632 is 23621818.

It is a junction number, because it is equal to n+sod(n) for n = 81812594 and 81812603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81812639) 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 15 ways as a sum of consecutive naturals, for example, 279078 + ... + 279370.

It is an arithmetic number, because the mean of its divisors is an integer number (2778300).

Almost surely, 281812632 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 81812632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88905600).

81812632 is an abundant number, since it is smaller than the sum of its proper divisors (95998568).

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

81812632 is a wasteful number, since it uses less digits than its factorization.

81812632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 492 counting only the distinct ones).

The product of its digits is 4608, while the sum is 31.

The square root of 81812632 is about 9045.0335543877. The cubic root of 81812632 is about 434.1169950817.

The spelling of 81812632 in words is "eighty-one million, eight hundred twelve thousand, six hundred thirty-two".

Divisors: 1 2 4 8 11 19 22 38 44 76 88 152 167 209 293 334 418 586 668 836 1172 1336 1672 1837 2344 3173 3223 3674 5567 6346 6446 7348 11134 12692 12892 14696 22268 25384 25784 34903 44536 48931 61237 69806 97862 122474 139612 195724 244948 279224 391448 489896 538241 929689 1076482 1859378 2152964 3718756 4305928 7437512 10226579 20453158 40906316 81812632