Search a number
-
+
872545856 = 26713233643
BaseRepresentation
bin110100000000011…
…111111001000000
32020210211220220012
4310000133321000
53241332431411
6222325404052
730423342320
oct6400377100
92223756805
10872545856
11408590686
12204269628
1310ba03430
1483c51280
155190718b
hex3401fe40

872545856 has 112 divisors (see below), whose sum is σ = 2143499904. Its totient is φ = 343166976.

The previous prime is 872545853. The next prime is 872545889. The reversal of 872545856 is 658545278.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×8725458562 = 1522672541645545472, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (872545853) 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, 1356671 + ... + 1357313.

It is an arithmetic number, because the mean of its divisors is an integer number (19138392).

Almost surely, 2872545856 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 872545856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1071749952).

872545856 is an abundant number, since it is smaller than the sum of its proper divisors (1270954048).

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

872545856 is a wasteful number, since it uses less digits than its factorization.

872545856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 908 (or 898 counting only the distinct ones).

The product of its digits is 2688000, while the sum is 50.

The square root of 872545856 is about 29538.8871828307. The cubic root of 872545856 is about 955.5705429134.

The spelling of 872545856 in words is "eight hundred seventy-two million, five hundred forty-five thousand, eight hundred fifty-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 182 208 224 233 364 416 448 466 643 728 832 932 1286 1456 1631 1864 2572 2912 3029 3262 3728 4501 5144 5824 6058 6524 7456 8359 9002 10288 12116 13048 14912 16718 18004 20576 21203 24232 26096 33436 36008 41152 42406 48464 52192 58513 66872 72016 84812 96928 104384 117026 133744 144032 149819 169624 193856 234052 267488 288064 299638 339248 468104 534976 599276 678496 936208 1048733 1198552 1356992 1872416 1947647 2097466 2397104 3744832 3895294 4194932 4794208 7790588 8389864 9588416 13633529 15581176 16779728 27267058 31162352 33559456 54534116 62324704 67118912 109068232 124649408 218136464 436272928 872545856