Search a number
-
+
82043088 = 24317293467
BaseRepresentation
bin1001110001111…
…10000011010000
312201101012221220
410320332003100
5132000334323
612050245040
72014232451
oct470760320
9181335856
1082043088
1142347206
1223586780
1313cc730a
14ac79128
1573090e3
hex4e3e0d0

82043088 has 80 divisors (see below), whose sum is σ = 232217280. Its totient is φ = 24844288.

The previous prime is 82043077. The next prime is 82043089. The reversal of 82043088 is 88034028.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82043089) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21931 + ... + 25397.

It is an arithmetic number, because the mean of its divisors is an integer number (2902716).

Almost surely, 282043088 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 82043088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116108640).

82043088 is an abundant number, since it is smaller than the sum of its proper divisors (150174192).

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

82043088 is a wasteful number, since it uses less digits than its factorization.

82043088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3524 (or 3518 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 82043088 is about 9057.7639624799. The cubic root of 82043088 is about 434.5242307882.

The spelling of 82043088 in words is "eighty-two million, forty-three thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 29 34 48 51 58 68 87 102 116 136 174 204 232 272 348 408 464 493 696 816 986 1392 1479 1972 2958 3467 3944 5916 6934 7888 10401 11832 13868 20802 23664 27736 41604 55472 58939 83208 100543 117878 166416 176817 201086 235756 301629 353634 402172 471512 603258 707268 804344 943024 1206516 1414536 1608688 1709231 2413032 2829072 3418462 4826064 5127693 6836924 10255386 13673848 20510772 27347696 41021544 82043088