Search a number
-
+
81923562 = 236723349
BaseRepresentation
bin1001110001000…
…00110111101010
312201011011000000
410320200313222
5131433023222
612043523430
72013224130
oct470406752
9181134000
1081923562
1142275426
1223529576
1313c84aa6
14ac47750
1572d39ac
hex4e20dea

81923562 has 112 divisors (see below), whose sum is σ = 220348800. Its totient is φ = 22324896.

The previous prime is 81923551. The next prime is 81923591. The reversal of 81923562 is 26532918.

81923562 is a `hidden beast` number, since 8 + 1 + 92 + 3 + 562 = 666.

It is a super-2 number, since 2×819235622 = 13422940021535688, which contains 22 as substring.

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 55 ways as a sum of consecutive naturals, for example, 234564 + ... + 234912.

It is an arithmetic number, because the mean of its divisors is an integer number (1967400).

Almost surely, 281923562 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81923562, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110174400).

81923562 is an abundant number, since it is smaller than the sum of its proper divisors (138425238).

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

81923562 is a wasteful number, since it uses less digits than its factorization.

81923562 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399 (or 384 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 81923562 is about 9051.1635716078. The cubic root of 81923562 is about 434.3131133267.

The spelling of 81923562 in words is "eighty-one million, nine hundred twenty-three thousand, five hundred sixty-two".

Divisors: 1 2 3 6 7 9 14 18 21 23 27 42 46 54 63 69 81 126 138 161 162 189 207 243 322 349 378 414 483 486 567 621 698 729 966 1047 1134 1242 1449 1458 1701 1863 2094 2443 2898 3141 3402 3726 4347 4886 5103 5589 6282 7329 8027 8694 9423 10206 11178 13041 14658 16054 16767 18846 21987 24081 26082 28269 33534 39123 43974 48162 56189 56538 65961 72243 78246 84807 112378 117369 131922 144486 168567 169614 197883 216729 234738 254421 337134 395766 433458 505701 508842 593649 650187 1011402 1187298 1300374 1517103 1780947 1950561 3034206 3561894 3901122 4551309 5851683 9102618 11703366 13653927 27307854 40961781 81923562