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2572875456 = 263163229359
BaseRepresentation
bin1001100101011010…
…1111011011000000
320122022022121121120
42121112233123000
520232124003311
61103145352240
7120521036424
oct23126573300
96568277546
102572875456
111100359458
125b9798680
13320066a18
141a59c0b84
15100d23706
hex995af6c0

2572875456 has 112 divisors (see below), whose sum is σ = 6898233600. Its totient is φ = 846277632.

The previous prime is 2572875451. The next prime is 2572875469. The reversal of 2572875456 is 6545782752.

2572875456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×25728754562 = 13239376224174415872, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2572875399 and 2572875408.

It is not an unprimeable number, because it can be changed into a prime (2572875451) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7166605 + ... + 7166963.

Almost surely, 22572875456 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 2572875456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3449116800).

2572875456 is an abundant number, since it is smaller than the sum of its proper divisors (4325358144).

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

2572875456 is a wasteful number, since it uses less digits than its factorization.

2572875456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 766 (or 756 counting only the distinct ones).

The product of its digits is 4704000, while the sum is 51.

The square root of 2572875456 is about 50723.5197516892. The cubic root of 2572875456 is about 1370.2703315085.

The spelling of 2572875456 in words is "two billion, five hundred seventy-two million, eight hundred seventy-five thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 163 192 229 326 359 458 489 652 687 718 916 978 1077 1304 1374 1436 1832 1956 2154 2608 2748 2872 3664 3912 4308 5216 5496 5744 7328 7824 8616 10432 10992 11488 14656 15648 17232 21984 22976 31296 34464 37327 43968 58517 68928 74654 82211 111981 117034 149308 164422 175551 223962 234068 246633 298616 328844 351102 447924 468136 493266 597232 657688 702204 895848 936272 986532 1194464 1315376 1404408 1791696 1872544 1973064 2388928 2630752 2808816 3583392 3745088 3946128 5261504 5617632 7166784 7892256 11235264 13400393 15784512 26800786 40201179 53601572 80402358 107203144 160804716 214406288 321609432 428812576 643218864 857625152 1286437728 2572875456