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413622104 = 237174110597
BaseRepresentation
bin11000101001110…
…101111101011000
31001211022011212012
4120221311331120
51321341401404
6105013205052
713151505230
oct3051657530
91054264765
10413622104
111a252a455
12b6630788
1367900a0c
143cd0ccc0
15264a4a6e
hex18a75f58

413622104 has 64 divisors (see below), whose sum is σ = 961450560. Its totient is φ = 162754560.

The previous prime is 413622061. The next prime is 413622107. The reversal of 413622104 is 401226314.

It is a self number, because there is not a number n which added to its sum of digits gives 413622104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413622107) 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, 33734 + ... + 44330.

It is an arithmetic number, because the mean of its divisors is an integer number (15022665).

Almost surely, 2413622104 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 413622104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480725280).

413622104 is an abundant number, since it is smaller than the sum of its proper divisors (547828456).

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

413622104 is a wasteful number, since it uses less digits than its factorization.

413622104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10668 (or 10664 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 413622104 is about 20337.7015417180. The cubic root of 413622104 is about 745.0771530985.

Adding to 413622104 its reverse (401226314), we get a palindrome (814848418).

The spelling of 413622104 in words is "four hundred thirteen million, six hundred twenty-two thousand, one hundred four".

Divisors: 1 2 4 7 8 14 17 28 34 41 56 68 82 119 136 164 238 287 328 476 574 697 952 1148 1394 2296 2788 4879 5576 9758 10597 19516 21194 39032 42388 74179 84776 148358 180149 296716 360298 434477 593432 720596 868954 1261043 1441192 1737908 2522086 3041339 3475816 5044172 6082678 7386109 10088344 12165356 14772218 24330712 29544436 51702763 59088872 103405526 206811052 413622104