Search a number
-
+
82279104 = 2631393083
BaseRepresentation
bin1001110011101…
…11101011000000
312201211012201020
410321313223000
5132030412404
612055305440
72016234525
oct471675300
9181735636
1082279104
1142498566
122367b280
131407a87b
14acdb14c
157353ed9
hex4e77ac0

82279104 has 56 divisors (see below), whose sum is σ = 219334080. Its totient is φ = 27220224.

The previous prime is 82279091. The next prime is 82279111. The reversal of 82279104 is 40197228.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25147 + ... + 28229.

It is an arithmetic number, because the mean of its divisors is an integer number (3916680).

Almost surely, 282279104 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 82279104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109667040).

82279104 is an abundant number, since it is smaller than the sum of its proper divisors (137054976).

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

82279104 is a wasteful number, since it uses less digits than its factorization.

82279104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3237 (or 3227 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 82279104 is about 9070.7829871517. The cubic root of 82279104 is about 434.9405018373.

The spelling of 82279104 in words is "eighty-two million, two hundred seventy-nine thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 139 192 278 417 556 834 1112 1668 2224 3083 3336 4448 6166 6672 8896 9249 12332 13344 18498 24664 26688 36996 49328 73992 98656 147984 197312 295968 428537 591936 857074 1285611 1714148 2571222 3428296 5142444 6856592 10284888 13713184 20569776 27426368 41139552 82279104