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4103816490 = 23251714291877
BaseRepresentation
bin1111010010011011…
…0100010100101010
3101121000001110220100
43310212310110222
531401034111430
61515115010230
7203460602364
oct36446642452
911530043810
104103816490
111816552084
12966439976
135052a03a7
142ad059d34
15190430960
hexf49b452a

4103816490 has 96 divisors (see below), whose sum is σ = 11311494480. Its totient is φ = 1028708352.

The previous prime is 4103816443. The next prime is 4103816491. The reversal of 4103816490 is 946183014.

4103816490 is a `hidden beast` number, since 4 + 1 + 0 + 3 + 8 + 1 + 649 + 0 = 666.

4103816490 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 1560329001 + 2543487489 = 39501^2 + 50433^2 .

It is not an unprimeable number, because it can be changed into a prime (4103816491) 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, 2185432 + ... + 2187308.

Almost surely, 24103816490 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4103816490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5655747240).

4103816490 is an abundant number, since it is smaller than the sum of its proper divisors (7207677990).

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

4103816490 is a wasteful number, since it uses less digits than its factorization.

4103816490 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3336 (or 3333 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 4103816490 is about 64061.0372223241. The cubic root of 4103816490 is about 1601.0171254083.

The spelling of 4103816490 in words is "four billion, one hundred three million, eight hundred sixteen thousand, four hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 153 170 255 306 510 765 1429 1530 1877 2858 3754 4287 5631 7145 8574 9385 11262 12861 14290 16893 18770 21435 24293 25722 28155 31909 33786 42870 48586 56310 63818 64305 72879 84465 95727 121465 128610 145758 159545 168930 191454 218637 242930 287181 319090 364395 437274 478635 574362 728790 957270 1093185 1435905 2186370 2682233 2871810 5364466 8046699 13411165 16093398 24140097 26822330 40233495 45597961 48280194 80466990 91195922 120700485 136793883 227989805 241400970 273587766 410381649 455979610 683969415 820763298 1367938830 2051908245 4103816490