Search a number
-
+
854037216 = 25334124109
BaseRepresentation
bin110010111001111…
…001001011100000
32012112000120211000
4302321321023200
53222113142331
6220424552000
730110124264
oct6271711340
92175016730
10854037216
113a909988a
121ba022600
13107c22a86
14815d40a4
154ee9d0e6
hex32e792e0

854037216 has 96 divisors (see below), whose sum is σ = 2551802400. Its totient is φ = 277724160.

The previous prime is 854037199. The next prime is 854037229. The reversal of 854037216 is 612730458.

854037216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 23370 + ... + 47478.

It is an arithmetic number, because the mean of its divisors is an integer number (26581275).

Almost surely, 2854037216 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 854037216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1275901200).

854037216 is an abundant number, since it is smaller than the sum of its proper divisors (1697765184).

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

854037216 is a wasteful number, since it uses less digits than its factorization.

854037216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24169 (or 24155 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 854037216 is about 29223.9151381193. The cubic root of 854037216 is about 948.7656048926.

The spelling of 854037216 in words is "eight hundred fifty-four million, thirty-seven thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 41 48 54 72 82 96 108 123 144 164 216 246 288 328 369 432 492 656 738 864 984 1107 1312 1476 1968 2214 2952 3936 4428 5904 8856 11808 17712 24109 35424 48218 72327 96436 144654 192872 216981 289308 385744 433962 578616 650943 771488 867924 988469 1157232 1301886 1735848 1976938 2314464 2603772 2965407 3471696 3953876 5207544 5930814 6943392 7907752 8896221 10415088 11861628 15815504 17792442 20830176 23723256 26688663 31631008 35584884 47446512 53377326 71169768 94893024 106754652 142339536 213509304 284679072 427018608 854037216