Search a number
-
+
104480082 = 23273773307
BaseRepresentation
bin1100011101000…
…11110101010010
321021121010201200
412032203311102
5203221330312
614211212030
72406031440
oct616436522
9237533650
10104480082
1153a81483
122aba7016
1318851a45
14dc39b90
15928c0dc
hex63a3d52

104480082 has 96 divisors (see below), whose sum is σ = 270221952. Its totient is φ = 28553472.

The previous prime is 104480081. The next prime is 104480111. The reversal of 104480082 is 280084401.

104480082 is a `hidden beast` number, since 104 + 480 + 0 + 82 = 666.

It is a super-3 number, since 3×1044800823 (a number of 25 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (104480081) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 340173 + ... + 340479.

It is an arithmetic number, because the mean of its divisors is an integer number (2814812).

Almost surely, 2104480082 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104480082, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135110976).

104480082 is an abundant number, since it is smaller than the sum of its proper divisors (165741870).

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

104480082 is a wasteful number, since it uses less digits than its factorization.

104480082 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 104480082 is about 10221.5498824787. The cubic root of 104480082 is about 470.9894381447.

The spelling of 104480082 in words is "one hundred four million, four hundred eighty thousand, eighty-two".

Divisors: 1 2 3 6 7 9 14 18 21 37 42 63 73 74 111 126 146 219 222 259 307 333 438 511 518 614 657 666 777 921 1022 1314 1533 1554 1842 2149 2331 2701 2763 3066 4298 4599 4662 5402 5526 6447 8103 9198 11359 12894 16206 18907 19341 22411 22718 24309 34077 37814 38682 44822 48618 56721 67233 68154 79513 102231 113442 134466 156877 159026 170163 201699 204462 238539 313754 340326 403398 470631 477078 715617 829207 941262 1411893 1431234 1658414 2487621 2823786 4975242 5804449 7462863 11608898 14925726 17413347 34826694 52240041 104480082