Search a number
-
+
872543772 = 223319142299
BaseRepresentation
bin110100000000011…
…111011000011100
32020210211211001000
4310000133120130
53241332400042
6222325350300
730423333252
oct6400373034
92223754030
10872543772
1140858a061
12204268390
1310ba024b9
1483c505d2
155190674c
hex3401f61c

872543772 has 48 divisors (see below), whose sum is σ = 2274048000. Its totient is φ = 289318320.

The previous prime is 872543761. The next prime is 872543773. The reversal of 872543772 is 277345278.

It is a super-2 number, since 2×8725437722 = 1522665268111975968, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (872543773) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 522 + ... + 41777.

It is an arithmetic number, because the mean of its divisors is an integer number (47376000).

Almost surely, 2872543772 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 872543772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1137024000).

872543772 is an abundant number, since it is smaller than the sum of its proper divisors (1401504228).

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

872543772 is a wasteful number, since it uses less digits than its factorization.

872543772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42503 (or 42495 counting only the distinct ones).

The product of its digits is 658560, while the sum is 45.

The square root of 872543772 is about 29538.8519072763. The cubic root of 872543772 is about 955.5697821470.

It can be divided in two parts, 872 and 543772, that added together give a square (544644 = 7382).

The spelling of 872543772 in words is "eight hundred seventy-two million, five hundred forty-three thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 191 382 573 764 1146 1719 2292 3438 5157 6876 10314 20628 42299 84598 126897 169196 253794 380691 507588 761382 1142073 1522764 2284146 4568292 8079109 16158218 24237327 32316436 48474654 72711981 96949308 145423962 218135943 290847924 436271886 872543772