Search a number
-
+
3802064 = 24783409
BaseRepresentation
bin1110100000001111010000
321011011110012
432200033100
51433131224
6213254052
744213510
oct16401720
97134405
103802064
112167602
121334328
13a31756
1470d840
1550180e
hex3a03d0

3802064 has 40 divisors (see below), whose sum is σ = 8541120. Its totient is φ = 1605888.

The previous prime is 3802037. The next prime is 3802081. The reversal of 3802064 is 4602083.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9092 + ... + 9500.

It is an arithmetic number, because the mean of its divisors is an integer number (213528).

Almost surely, 23802064 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 3802064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4270560).

3802064 is an abundant number, since it is smaller than the sum of its proper divisors (4739056).

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

3802064 is a wasteful number, since it uses less digits than its factorization.

3802064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507 (or 501 counting only the distinct ones).

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

The square root of 3802064 is about 1949.8882019234. Note that the first 3 decimals coincide. The cubic root of 3802064 is about 156.0773230527.

The spelling of 3802064 in words is "three million, eight hundred two thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 28 56 83 112 166 332 409 581 664 818 1162 1328 1636 2324 2863 3272 4648 5726 6544 9296 11452 22904 33947 45808 67894 135788 237629 271576 475258 543152 950516 1901032 3802064