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3252823296 = 28319072221
BaseRepresentation
bin1100000111100010…
…0010010100000000
322101200202112200220
43001320202110000
523130210321141
61254435143040
7143415353562
oct30170422400
98350675626
103252823296
11141a152318
12769444a80
133caba5018
1422c019332
15140884766
hexc1e22500

3252823296 has 72 divisors (see below), whose sum is σ = 8665693344. Its totient is φ = 1083217920.

The previous prime is 3252823283. The next prime is 3252823337. The reversal of 3252823296 is 6923282523.

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, 1463466 + ... + 1465686.

It is an arithmetic number, because the mean of its divisors is an integer number (120356852).

Almost surely, 23252823296 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 3252823296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4332846672).

3252823296 is an abundant number, since it is smaller than the sum of its proper divisors (5412870048).

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

3252823296 is a wasteful number, since it uses less digits than its factorization.

3252823296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4147 (or 4133 counting only the distinct ones).

The product of its digits is 311040, while the sum is 42.

The square root of 3252823296 is about 57033.5278235531. The cubic root of 3252823296 is about 1481.6768333069.

The spelling of 3252823296 in words is "three billion, two hundred fifty-two million, eight hundred twenty-three thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 768 1907 2221 3814 4442 5721 6663 7628 8884 11442 13326 15256 17768 22884 26652 30512 35536 45768 53304 61024 71072 91536 106608 122048 142144 183072 213216 244096 284288 366144 426432 488192 568576 732288 852864 1464576 1705728 4235447 8470894 12706341 16941788 25412682 33883576 50825364 67767152 101650728 135534304 203301456 271068608 406602912 542137216 813205824 1084274432 1626411648 3252823296