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81995032 = 237219101109
BaseRepresentation
bin1001110001100…
…10010100011000
312201021210001001
410320302110120
5131442320112
612045234344
72013642400
oct470622430
9181253031
1081995032
1142314099
12235629b4
1313cab492
14ac65800
1572e9c57
hex4e32518

81995032 has 96 divisors (see below), whose sum is σ = 191862000. Its totient is φ = 32659200.

The previous prime is 81995021. The next prime is 81995057. The reversal of 81995032 is 23059918.

It is a junction number, because it is equal to n+sod(n) for n = 81994982 and 81995000.

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 23 ways as a sum of consecutive naturals, for example, 752194 + ... + 752302.

Almost surely, 281995032 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 81995032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95931000).

81995032 is an abundant number, since it is smaller than the sum of its proper divisors (109866968).

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

81995032 is a wasteful number, since it uses less digits than its factorization.

81995032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 37.

The square root of 81995032 is about 9055.1108220717. The cubic root of 81995032 is about 434.4393746663.

It can be divided in two parts, 8199 and 5032, that added together give a palindrome (13231).

The spelling of 81995032 in words is "eighty-one million, nine hundred ninety-five thousand, thirty-two".

Divisors: 1 2 4 7 8 14 19 28 38 49 56 76 98 101 109 133 152 196 202 218 266 392 404 436 532 707 763 808 872 931 1064 1414 1526 1862 1919 2071 2828 3052 3724 3838 4142 4949 5341 5656 6104 7448 7676 8284 9898 10682 11009 13433 14497 15352 16568 19796 21364 22018 26866 28994 39592 42728 44036 53732 57988 77063 88072 94031 101479 107464 115976 154126 188062 202958 209171 308252 376124 405916 418342 539441 616504 752248 811832 836684 1078882 1464197 1673368 2157764 2928394 4315528 5856788 10249379 11713576 20498758 40997516 81995032