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872212768 = 257109139257
BaseRepresentation
bin110011111111001…
…110100100100000
32020210012222222121
4303333032210200
53241241302033
6222314314024
730420454240
oct6377164440
92223188877
10872212768
114083833a9
12204128914
1310b91793b
1483ba5b20
155188d62d
hex33fce920

872212768 has 96 divisors (see below), whose sum is σ = 2002492800. Its totient is φ = 366280704.

The previous prime is 872212751. The next prime is 872212799. The reversal of 872212768 is 867212278.

It is a super-2 number, since 2×8722127682 = 1521510225324443648, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3393696 + ... + 3393952.

It is an arithmetic number, because the mean of its divisors is an integer number (20859300).

Almost surely, 2872212768 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 872212768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1001246400).

872212768 is an abundant number, since it is smaller than the sum of its proper divisors (1130280032).

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

872212768 is a wasteful number, since it uses less digits than its factorization.

872212768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 522 (or 514 counting only the distinct ones).

The product of its digits is 150528, while the sum is 43.

The square root of 872212768 is about 29533.2485175607. The cubic root of 872212768 is about 955.4489334152.

The spelling of 872212768 in words is "eight hundred seventy-two million, two hundred twelve thousand, seven hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 109 112 139 218 224 257 278 436 514 556 763 872 973 1028 1112 1526 1744 1799 1946 2056 2224 3052 3488 3598 3892 4112 4448 6104 7196 7784 8224 12208 14392 15151 15568 24416 28013 28784 30302 31136 35723 56026 57568 60604 71446 106057 112052 121208 142892 196091 212114 224104 242416 250061 285784 392182 424228 448208 484832 500122 571568 784364 848456 896416 1000244 1143136 1568728 1696912 2000488 3137456 3393824 3893807 4000976 6274912 7787614 8001952 15575228 27256649 31150456 54513298 62300912 109026596 124601824 218053192 436106384 872212768