Search a number
-
+
3802493456 = 242921138839
BaseRepresentation
bin1110001010100101…
…0111001000010000
3100211000001200101222
43202221113020100
530241414242311
61425152344212
7163141442516
oct34251271020
910730050358
103802493456
111681454683
128a1545068
13487a2b338
142810204b6
15173c5eadb
hexe2a57210

3802493456 has 40 divisors (see below), whose sum is σ = 7657694400. Its totient is φ = 1826939520.

The previous prime is 3802493447. The next prime is 3802493459. The reversal of 3802493456 is 6543942083.

It is not an unprimeable number, because it can be changed into a prime (3802493459) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 78485 + ... + 117323.

It is an arithmetic number, because the mean of its divisors is an integer number (191442360).

Almost surely, 23802493456 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 3802493456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3828847200).

3802493456 is an abundant number, since it is smaller than the sum of its proper divisors (3855200944).

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

3802493456 is a wasteful number, since it uses less digits than its factorization.

3802493456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39087 (or 39081 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 44.

The square root of 3802493456 is about 61664.3613118631. The cubic root of 3802493456 is about 1560.8319931883.

The spelling of 3802493456 in words is "three billion, eight hundred two million, four hundred ninety-three thousand, four hundred fifty-six".

Divisors: 1 2 4 8 16 29 58 116 211 232 422 464 844 1688 3376 6119 12238 24476 38839 48952 77678 97904 155356 310712 621424 1126331 2252662 4505324 8195029 9010648 16390058 18021296 32780116 65560232 131120464 237655841 475311682 950623364 1901246728 3802493456