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6304253952 = 21137431381
BaseRepresentation
bin1011101111100001…
…10100100000000000
3121021100120021122010
411313300310200000
5100402342111302
62521322012520
7312140163063
oct56760644000
917240507563
106304253952
112745650337
12127b347140
13796125ba9
1443b3ac8da
1526d6d716c
hex177c34800

6304253952 has 96 divisors (see below), whose sum is σ = 16842047040. Its totient is φ = 2097070080.

The previous prime is 6304253929. The next prime is 6304253953. The reversal of 6304253952 is 2593524036.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 6304253952.

It is not an unprimeable number, because it can be changed into a prime (6304253953) 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, 4564302 + ... + 4565682.

It is an arithmetic number, because the mean of its divisors is an integer number (175437990).

Almost surely, 26304253952 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 6304253952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8421023520).

6304253952 is an abundant number, since it is smaller than the sum of its proper divisors (10537793088).

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

6304253952 is a wasteful number, since it uses less digits than its factorization.

6304253952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2149 (or 2129 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 39.

The square root of 6304253952 is about 79399.3321886274. The cubic root of 6304253952 is about 1847.3303546278.

Adding to 6304253952 its reverse (2593524036), we get a palindrome (8897777988).

The spelling of 6304253952 in words is "six billion, three hundred four million, two hundred fifty-three thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 743 768 1024 1381 1486 1536 2048 2229 2762 2972 3072 4143 4458 5524 5944 6144 8286 8916 11048 11888 16572 17832 22096 23776 33144 35664 44192 47552 66288 71328 88384 95104 132576 142656 176768 190208 265152 285312 353536 380416 530304 570624 707072 760832 1026083 1060608 1141248 1414144 1521664 2052166 2121216 2282496 2828288 3078249 4104332 4242432 4564992 6156498 8208664 8484864 12312996 16417328 24625992 32834656 49251984 65669312 98503968 131338624 197007936 262677248 394015872 525354496 788031744 1050708992 1576063488 2101417984 3152126976 6304253952