Search a number
-
+
104624388 = 223211431613
BaseRepresentation
bin1100011110001…
…11000100000100
321021212110200100
412033013010010
5203240440023
614214244100
72410202241
oct617070404
9237773610
10104624388
115406a940
122b056630
13188a262b
14dc765c8
1592b9c43
hex63c7104

104624388 has 72 divisors (see below), whose sum is σ = 289650816. Its totient is φ = 31579200.

The previous prime is 104624381. The next prime is 104624389. The reversal of 104624388 is 883426401.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (104624381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 170370 + ... + 170982.

It is an arithmetic number, because the mean of its divisors is an integer number (4022928).

Almost surely, 2104624388 is an apocalyptic number.

104624388 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104624388, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144825408).

104624388 is an abundant number, since it is smaller than the sum of its proper divisors (185026428).

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

104624388 is a wasteful number, since it uses less digits than its factorization.

104624388 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1065 (or 1060 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 104624388 is about 10228.6063566842. The cubic root of 104624388 is about 471.2061790875.

The spelling of 104624388 in words is "one hundred four million, six hundred twenty-four thousand, three hundred eighty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 431 613 862 1226 1293 1724 1839 2452 2586 3678 3879 4741 5172 5517 6743 7356 7758 9482 11034 13486 14223 15516 18964 20229 22068 26972 28446 40458 42669 56892 60687 80916 85338 121374 170676 242748 264203 528406 792609 1056812 1585218 2377827 2906233 3170436 4755654 5812466 8718699 9511308 11624932 17437398 26156097 34874796 52312194 104624388