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81658096 = 2413323101
BaseRepresentation
bin1001101111000…
…00000011110000
312200122122211221
410313200003300
5131401024341
612034114424
72011040152
oct467400360
9180578757
1081658096
1142103a33
122341ba14
1313bc1000
14abb8ad2
15727eed1
hex4de00f0

81658096 has 80 divisors (see below), whose sum is σ = 180613440. Its totient is φ = 35692800.

The previous prime is 81658069. The next prime is 81658097. The reversal of 81658096 is 69085618.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81658097) 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, 808446 + ... + 808546.

It is an arithmetic number, because the mean of its divisors is an integer number (2257668).

Almost surely, 281658096 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 81658096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90306720).

81658096 is an abundant number, since it is smaller than the sum of its proper divisors (98955344).

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

81658096 is a wasteful number, since it uses less digits than its factorization.

81658096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 43.

The square root of 81658096 is about 9036.4869280047. The cubic root of 81658096 is about 433.8434880582.

It can be divided in two parts, 8165 and 8096, that added together give a palindrome (16261).

The spelling of 81658096 in words is "eighty-one million, six hundred fifty-eight thousand, ninety-six".

Divisors: 1 2 4 8 13 16 23 26 46 52 92 101 104 169 184 202 208 299 338 368 404 598 676 808 1196 1313 1352 1616 2197 2323 2392 2626 2704 3887 4394 4646 4784 5252 7774 8788 9292 10504 15548 17069 17576 18584 21008 30199 31096 34138 35152 37168 50531 60398 62192 68276 101062 120796 136552 202124 221897 241592 273104 392587 404248 443794 483184 785174 808496 887588 1570348 1775176 3140696 3550352 5103631 6281392 10207262 20414524 40829048 81658096