[go: up one dir, main page]

Search a number
-
+
81327376 = 2413715507
BaseRepresentation
bin1001101100011…
…11010100010000
312200000212012001
410312033110100
5131304434001
612023043344
72005162024
oct466172420
9180025161
1081327376
11419a8509
12232a0554
1313b06610
14ab30384
157217001
hex4d8f510

81327376 has 40 divisors (see below), whose sum is σ = 172113984. Its totient is φ = 37000320.

The previous prime is 81327361. The next prime is 81327377. The reversal of 81327376 is 67372318.

It is a super-2 number, since 2×813273762 = 13228284174090752, which contains 22 as substring.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (81327377) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12015 + ... + 17521.

Almost surely, 281327376 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 81327376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86056992).

81327376 is an abundant number, since it is smaller than the sum of its proper divisors (90786608).

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

81327376 is a wasteful number, since it uses less digits than its factorization.

81327376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5599 (or 5593 counting only the distinct ones).

The product of its digits is 42336, while the sum is 37.

The square root of 81327376 is about 9018.1692155337. The cubic root of 81327376 is about 433.2569985197.

The spelling of 81327376 in words is "eighty-one million, three hundred twenty-seven thousand, three hundred seventy-six".

Divisors: 1 2 4 8 13 16 26 52 71 104 142 208 284 568 923 1136 1846 3692 5507 7384 11014 14768 22028 44056 71591 88112 143182 286364 390997 572728 781994 1145456 1563988 3127976 5082961 6255952 10165922 20331844 40663688 81327376