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81796832 = 25132383103
BaseRepresentation
bin1001110000000…
…01111011100000
312200220201011022
410320001323200
5131414444312
612041105012
72012155505
oct470017340
9180821138
1081796832
1142199197
1223488168
1313c3c1c0
14ac134ac
1572ab172
hex4e01ee0

81796832 has 96 divisors (see below), whose sum is σ = 184923648. Its totient is φ = 35329536.

The previous prime is 81796831. The next prime is 81796853. The reversal of 81796832 is 23869718.

Its product of digits (145152) is a multiple of the sum of its prime divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81796831) 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, 794093 + ... + 794195.

It is an arithmetic number, because the mean of its divisors is an integer number (1926288).

Almost surely, 281796832 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 81796832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92461824).

81796832 is an abundant number, since it is smaller than the sum of its proper divisors (103126816).

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

81796832 is a wasteful number, since it uses less digits than its factorization.

81796832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 224 counting only the distinct ones).

The product of its digits is 145152, while the sum is 44.

The square root of 81796832 is about 9044.1601047306. The cubic root of 81796832 is about 434.0890471151.

It can be divided in two parts, 81796 and 832, that added together give a palindrome (82628).

The spelling of 81796832 in words is "eighty-one million, seven hundred ninety-six thousand, eight hundred thirty-two".

Divisors: 1 2 4 8 13 16 23 26 32 46 52 83 92 103 104 166 184 206 208 299 332 368 412 416 598 664 736 824 1079 1196 1328 1339 1648 1909 2158 2369 2392 2656 2678 3296 3818 4316 4738 4784 5356 7636 8549 8632 9476 9568 10712 15272 17098 17264 18952 21424 24817 30544 30797 34196 34528 37904 42848 49634 61088 61594 68392 75808 99268 111137 123188 136784 196627 198536 222274 246376 273568 393254 397072 444548 492752 786508 794144 889096 985504 1573016 1778192 2556151 3146032 3556384 5112302 6292064 10224604 20449208 40898416 81796832