Search a number
-
+
5641416 = 23321117419
BaseRepresentation
bin10101100001010011001000
3101121121120100
4111201103020
52421011131
6320525400
765644164
oct25412310
911547510
105641416
113203530
121a80860
131226a21
14a6bca4
157667e6
hex5614c8

5641416 has 96 divisors (see below), whose sum is σ = 17690400. Its totient is φ = 1605120.

The previous prime is 5641393. The next prime is 5641421. The reversal of 5641416 is 6141465.

5641416 is a `hidden beast` number, since 5 + 641 + 4 + 16 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 5641416.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13255 + ... + 13673.

It is an arithmetic number, because the mean of its divisors is an integer number (184275).

Almost surely, 25641416 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 5641416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8845200).

5641416 is an abundant number, since it is smaller than the sum of its proper divisors (12048984).

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

5641416 is a wasteful number, since it uses less digits than its factorization.

5641416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459 (or 452 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 5641416 is about 2375.1665204781. The cubic root of 5641416 is about 178.0175044857.

The spelling of 5641416 in words is "five million, six hundred forty-one thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 17 18 22 24 33 34 36 44 51 66 68 72 88 99 102 132 136 153 187 198 204 264 306 374 396 408 419 561 612 748 792 838 1122 1224 1257 1496 1676 1683 2244 2514 3352 3366 3771 4488 4609 5028 6732 7123 7542 9218 10056 13464 13827 14246 15084 18436 21369 27654 28492 30168 36872 41481 42738 55308 56984 64107 78353 82962 85476 110616 128214 156706 165924 170952 235059 256428 313412 331848 470118 512856 626824 705177 940236 1410354 1880472 2820708 5641416