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816341472 = 25328533323
BaseRepresentation
bin110000101010000…
…110000111100000
32002220002102222100
4300222012013200
53132440411342
6213001010400
726141534202
oct6052060740
92086072870
10816341472
11389892481
121a9483a00
13100184cbb
147a5c0772
154ba03e4c
hex30a861e0

816341472 has 72 divisors (see below), whose sum is σ = 2324892024. Its totient is φ = 271713024.

The previous prime is 816341453. The next prime is 816341497. The reversal of 816341472 is 274143618.

816341472 is a `hidden beast` number, since 8 + 1 + 634 + 14 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 244003 + ... + 247325.

It is an arithmetic number, because the mean of its divisors is an integer number (32290167).

Almost surely, 2816341472 is an apocalyptic number.

It is an amenable number.

816341472 is an abundant number, since it is smaller than the sum of its proper divisors (1508550552).

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

816341472 is a wasteful number, since it uses less digits than its factorization.

816341472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4192 (or 4181 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 816341472 is about 28571.6900445178. The cubic root of 816341472 is about 934.5960763030.

The spelling of 816341472 in words is "eight hundred sixteen million, three hundred forty-one thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 853 1706 2559 3323 3412 5118 6646 6824 7677 9969 10236 13292 13648 15354 19938 20472 26584 27296 29907 30708 39876 40944 53168 59814 61416 79752 81888 106336 119628 122832 159504 239256 245664 319008 478512 957024 2834519 5669038 8503557 11338076 17007114 22676152 25510671 34014228 45352304 51021342 68028456 90704608 102042684 136056912 204085368 272113824 408170736 816341472