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81692496 = 24331271489
BaseRepresentation
bin1001101111010…
…00011101010000
312200201102001000
410313220131100
5131403124441
612034542000
72011242354
oct467503520
9180642030
1081692496
1142127866
1223437900
1313c03872
14abc7464
15728a2b6
hex4de8750

81692496 has 80 divisors (see below), whose sum is σ = 236492800. Its totient is φ = 26998272.

The previous prime is 81692491. The next prime is 81692509. The reversal of 81692496 is 69429618.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81692491) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 54120 + ... + 55608.

It is an arithmetic number, because the mean of its divisors is an integer number (2956160).

Almost surely, 281692496 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 81692496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118246400).

81692496 is an abundant number, since it is smaller than the sum of its proper divisors (154800304).

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

81692496 is a wasteful number, since it uses less digits than its factorization.

81692496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1633 (or 1621 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 81692496 is about 9038.3901221401. The cubic root of 81692496 is about 433.9044010662.

The spelling of 81692496 in words is "eighty-one million, six hundred ninety-two thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 127 144 216 254 381 432 508 762 1016 1143 1489 1524 2032 2286 2978 3048 3429 4467 4572 5956 6096 6858 8934 9144 11912 13401 13716 17868 18288 23824 26802 27432 35736 40203 53604 54864 71472 80406 107208 160812 189103 214416 321624 378206 567309 643248 756412 1134618 1512824 1701927 2269236 3025648 3403854 4538472 5105781 6807708 9076944 10211562 13615416 20423124 27230832 40846248 81692496