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81758196 = 223213971801
BaseRepresentation
bin1001101111110…
…00011111110100
312200211202011100
410313320133310
5131412230241
612040210100
72011635042
oct467703764
9180752140
1081758196
1142172163
1223469930
1313c27740
14ac03392
15729e9b6
hex4df87f4

81758196 has 72 divisors (see below), whose sum is σ = 224983304. Its totient is φ = 24883200.

The previous prime is 81758177. The next prime is 81758203. The reversal of 81758196 is 69185718.

It can be written as a sum of positive squares in 4 ways, for example, as 108900 + 81649296 = 330^2 + 9036^2 .

It is a super-2 number, since 2×817581962 = 13368805226348832, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44496 + ... + 46296.

Almost surely, 281758196 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 81758196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112491652).

81758196 is an abundant number, since it is smaller than the sum of its proper divisors (143225108).

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

81758196 is a wasteful number, since it uses less digits than its factorization.

81758196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1921 (or 1916 counting only the distinct ones).

The product of its digits is 120960, while the sum is 45.

The square root of 81758196 is about 9042.0238884887. The cubic root of 81758196 is about 434.0206903286.

The spelling of 81758196 in words is "eighty-one million, seven hundred fifty-eight thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 97 117 156 194 234 291 388 468 582 873 1164 1261 1746 1801 2522 3492 3602 3783 5044 5403 7204 7566 10806 11349 15132 16209 21612 22698 23413 32418 45396 46826 64836 70239 93652 140478 174697 210717 280956 349394 421434 524091 698788 842868 1048182 1572273 2096364 2271061 3144546 4542122 6289092 6813183 9084244 13626366 20439549 27252732 40879098 81758196