Search a number
-
+
816333792 = 2538503477
BaseRepresentation
bin110000101010000…
…100001111100000
32002220002001102220
4300222010033200
53132440140132
6213000511040
726141502621
oct6052041740
92086061386
10816333792
1138988772a
121a947b480
13100181661
147a5bba48
154ba01a2c
hex30a843e0

816333792 has 24 divisors (see below), whose sum is σ = 2142876456. Its totient is φ = 272111232.

The previous prime is 816333787. The next prime is 816333797. The reversal of 816333792 is 297333618.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (816333787) and next prime (816333797).

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×8163337922 = 1332801719922198528, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (816333797) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4251643 + ... + 4251834.

It is an arithmetic number, because the mean of its divisors is an integer number (89286519).

Almost surely, 2816333792 is an apocalyptic number.

It is an amenable number.

816333792 is an abundant number, since it is smaller than the sum of its proper divisors (1326542664).

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

816333792 is a wasteful number, since it uses less digits than its factorization.

816333792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8503490 (or 8503482 counting only the distinct ones).

The product of its digits is 163296, while the sum is 42.

The square root of 816333792 is about 28571.5556454317. Note that the first 3 decimals coincide. The cubic root of 816333792 is about 934.5931454541.

The spelling of 816333792 in words is "eight hundred sixteen million, three hundred thirty-three thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 8503477 17006954 25510431 34013908 51020862 68027816 102041724 136055632 204083448 272111264 408166896 816333792