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872282912 = 252322272
BaseRepresentation
bin110011111111011…
…111101100100000
32020210100120012112
4303333133230200
53241301023122
6222320014452
730421165604
oct6377375440
92223316175
10872282912
11408421076
12204161428
1310b940847
1483bc3504
15518a42e2
hex33fdfb20

872282912 has 54 divisors (see below), whose sum is σ = 1803162123. Its totient is φ = 415340992.

The previous prime is 872282899. The next prime is 872282921. The reversal of 872282912 is 219282278.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 436141456 + 436141456 = 20884^2 + 20884^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=20884.

It is a Duffinian number.

Its product of digits (64512) is a multiple of the sum of its prime divisors (252).

It is a self number, because there is not a number n which added to its sum of digits gives 872282912.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3842543 + ... + 3842769.

Almost surely, 2872282912 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 872282912

872282912 is an abundant number, since it is smaller than the sum of its proper divisors (930879211).

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

872282912 is an equidigital number, since it uses as much as digits as its factorization.

872282912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510 (or 252 counting only the distinct ones).

The product of its digits is 64512, while the sum is 41.

The square root of 872282912 is about 29534.4360365997. The cubic root of 872282912 is about 955.4745453667.

The spelling of 872282912 in words is "eight hundred seventy-two million, two hundred eighty-two thousand, nine hundred twelve".

Divisors: 1 2 4 8 16 23 32 46 92 184 227 368 454 529 736 908 1058 1816 2116 3632 4232 5221 7264 8464 10442 16928 20884 41768 51529 83536 103058 120083 167072 206116 240166 412232 480332 824464 960664 1185167 1648928 1921328 2370334 3842656 4740668 9481336 18962672 27258841 37925344 54517682 109035364 218070728 436141456 872282912