Search a number
-
+
3794546080 = 2551313211381
BaseRepresentation
bin1110001000101100…
…0010110110100000
3100210110002220122201
43202023002312200
530232400433310
61424310142544
7163014052363
oct34213026640
910713086581
103794546080
111677a166a6
1289a951a54
134861a7b50
1427dd520da
151731dee3a
hexe22c2da0

3794546080 has 96 divisors (see below), whose sum is σ = 9668505168. Its totient is φ = 1398988800.

The previous prime is 3794546071. The next prime is 3794546099. The reversal of 3794546080 is 806454973.

It can be written as a sum of positive squares in 8 ways, for example, as 1767025296 + 2027520784 = 42036^2 + 45028^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 3794546080.

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, 2746990 + ... + 2748370.

Almost surely, 23794546080 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 3794546080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4834252584).

3794546080 is an abundant number, since it is smaller than the sum of its proper divisors (5873959088).

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

3794546080 is a wasteful number, since it uses less digits than its factorization.

3794546080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2730 (or 2722 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 46.

The square root of 3794546080 is about 61599.8870128834. The cubic root of 3794546080 is about 1559.7438325810.

The spelling of 3794546080 in words is "three billion, seven hundred ninety-four million, five hundred forty-six thousand, eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 416 520 1040 1321 1381 2080 2642 2762 5284 5524 6605 6905 10568 11048 13210 13810 17173 17953 21136 22096 26420 27620 34346 35906 42272 44192 52840 55240 68692 71812 85865 89765 105680 110480 137384 143624 171730 179530 211360 220960 274768 287248 343460 359060 549536 574496 686920 718120 1373840 1436240 1824301 2747680 2872480 3648602 7297204 9121505 14594408 18243010 23715913 29188816 36486020 47431826 58377632 72972040 94863652 118579565 145944080 189727304 237159130 291888160 379454608 474318260 758909216 948636520 1897273040 3794546080