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4104415032 = 2333715313019
BaseRepresentation
bin1111010010100100…
…0110011100111000
3101121001011212221120
43310221012130320
531401212240112
61515135505240
7203465644404
oct36451063470
911531155846
104104415032
111816920843
12966688220
1350544c963
142ad174104
151904ece8c
hexf4a46738

4104415032 has 64 divisors (see below), whose sum is σ = 10548739200. Its totient is φ = 1329851520.

The previous prime is 4104415027. The next prime is 4104415057. The reversal of 4104415032 is 2305144014.

4104415032 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×41044150322 = 33692445509815122048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 4104414993 and 4104415011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1358019 + ... + 1361037.

It is an arithmetic number, because the mean of its divisors is an integer number (164824050).

Almost surely, 24104415032 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 4104415032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5274369600).

4104415032 is an abundant number, since it is smaller than the sum of its proper divisors (6444324168).

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

4104415032 is a wasteful number, since it uses less digits than its factorization.

4104415032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4596 (or 4592 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 4104415032 is about 64065.7087059840. The cubic root of 4104415032 is about 1601.0949577879.

Adding to 4104415032 its reverse (2305144014), we get a palindrome (6409559046).

The spelling of 4104415032 in words is "four billion, one hundred four million, four hundred fifteen thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 24 37 74 111 148 222 296 444 888 1531 3019 3062 4593 6038 6124 9057 9186 12076 12248 18114 18372 24152 36228 36744 56647 72456 111703 113294 169941 223406 226588 335109 339882 446812 453176 670218 679764 893624 1340436 1359528 2680872 4622089 9244178 13866267 18488356 27732534 36976712 55465068 110930136 171017293 342034586 513051879 684069172 1026103758 1368138344 2052207516 4104415032