Search a number
-
+
81932448 = 2531365651
BaseRepresentation
bin1001110001000…
…11000010100000
312201011121012010
410320203002200
5131433314243
612044032520
72013262053
oct470430240
9181147163
1081932448
1142281074
1223532740
1313c88b50
14ac4aa9a
1572d6433
hex4e230a0

81932448 has 48 divisors (see below), whose sum is σ = 231620256. Its totient is φ = 25209600.

The previous prime is 81932441. The next prime is 81932489. The reversal of 81932448 is 84423918.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (81932441) 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, 31578 + ... + 34073.

It is an arithmetic number, because the mean of its divisors is an integer number (4825422).

Almost surely, 281932448 is an apocalyptic number.

It is an amenable number.

81932448 is an abundant number, since it is smaller than the sum of its proper divisors (149687808).

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

81932448 is a wasteful number, since it uses less digits than its factorization.

81932448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65677 (or 65669 counting only the distinct ones).

The product of its digits is 55296, while the sum is 39.

The square root of 81932448 is about 9051.6544344114. The cubic root of 81932448 is about 434.3288156338.

The spelling of 81932448 in words is "eighty-one million, nine hundred thirty-two thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 65651 131302 196953 262604 393906 525208 787812 853463 1050416 1575624 1706926 2100832 2560389 3151248 3413852 5120778 6302496 6827704 10241556 13655408 20483112 27310816 40966224 81932448