Search a number
-
+
668156256 = 25332333623
BaseRepresentation
bin100111110100110…
…100000101100000
31201120020212002000
4213310310011200
52332022000011
6150144524000
722362143265
oct4764640540
91646225060
10668156256
1131317a759
12167920600
13a8570141
1464a4926c
153d9d2356
hex27d34160

668156256 has 96 divisors (see below), whose sum is σ = 2033579520. Its totient is φ = 213028992.

The previous prime is 668156243. The next prime is 668156263. The reversal of 668156256 is 652651866.

It is a happy number.

668156256 is a `hidden beast` number, since 6 + 6 + 8 + 15 + 625 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

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, 3061 + ... + 36683.

It is an arithmetic number, because the mean of its divisors is an integer number (21183120).

Almost surely, 2668156256 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 668156256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1016789760).

668156256 is an abundant number, since it is smaller than the sum of its proper divisors (1365423264).

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

668156256 is a wasteful number, since it uses less digits than its factorization.

668156256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33665 (or 33651 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The square root of 668156256 is about 25848.7186529623. The cubic root of 668156256 is about 874.2306188162.

The spelling of 668156256 in words is "six hundred sixty-eight million, one hundred fifty-six thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 69 72 92 96 108 138 144 184 207 216 276 288 368 414 432 552 621 736 828 864 1104 1242 1656 2208 2484 3312 4968 6624 9936 19872 33623 67246 100869 134492 201738 268984 302607 403476 537968 605214 773329 806952 907821 1075936 1210428 1546658 1613904 1815642 2319987 2420856 3093316 3227808 3631284 4639974 4841712 6186632 6959961 7262568 9279948 9683424 12373264 13919922 14525136 18559896 20879883 24746528 27839844 29050272 37119792 41759766 55679688 74239584 83519532 111359376 167039064 222718752 334078128 668156256