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104463424 = 26132353103
BaseRepresentation
bin1100011100111…
…11110001000000
321021120021212201
412032133301000
5203220312144
614211002544
72405632042
oct616376100
9237507781
10104463424
1153a6aa0a
122ab99454
13188472a0
14dc33a92
1592871d4
hex639fc40

104463424 has 112 divisors (see below), whose sum is σ = 239645952. Its totient is φ = 44808192.

The previous prime is 104463421. The next prime is 104463427. The reversal of 104463424 is 424364401.

It is an interprime number because it is at equal distance from previous prime (104463421) and next prime (104463427).

It is a junction number, because it is equal to n+sod(n) for n = 104463392 and 104463401.

It is not an unprimeable number, because it can be changed into a prime (104463421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1014157 + ... + 1014259.

It is an arithmetic number, because the mean of its divisors is an integer number (2139696).

Almost surely, 2104463424 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 104463424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119822976).

104463424 is an abundant number, since it is smaller than the sum of its proper divisors (135182528).

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

104463424 is a wasteful number, since it uses less digits than its factorization.

104463424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

The square root of 104463424 is about 10220.7350029242. The cubic root of 104463424 is about 470.9644057528.

The spelling of 104463424 in words is "one hundred four million, four hundred sixty-three thousand, four hundred twenty-four".

Divisors: 1 2 4 8 13 16 23 26 32 46 52 53 64 92 103 104 106 184 206 208 212 299 368 412 416 424 598 689 736 824 832 848 1196 1219 1339 1378 1472 1648 1696 2369 2392 2438 2678 2756 3296 3392 4738 4784 4876 5356 5459 5512 6592 9476 9568 9752 10712 10918 11024 15847 18952 19136 19504 21424 21836 22048 30797 31694 37904 39008 42848 43672 44096 61594 63388 70967 75808 78016 85696 87344 123188 125557 126776 141934 151616 174688 246376 251114 253552 283868 349376 492752 502228 507104 567736 985504 1004456 1014208 1135472 1632241 1971008 2008912 2270944 3264482 4017824 4541888 6528964 8035648 13057928 26115856 52231712 104463424