Search a number
-
+
869936112 = 24388287
BaseRepresentation
bin110011110110100…
…010101111110000
32020121221100000000
4303312202233300
53240200423422
6222153430000
730362222613
oct6366425760
92217840000
10869936112
11407068971
1220340b300
1310b2cb5c6
148377217a
155158dcac
hex33da2bf0

869936112 has 90 divisors (see below), whose sum is σ = 2528428448. Its totient is φ = 289943712.

The previous prime is 869936101. The next prime is 869936183. The reversal of 869936112 is 211639968.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 100833 + ... + 109119.

Almost surely, 2869936112 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 869936112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1264214224).

869936112 is an abundant number, since it is smaller than the sum of its proper divisors (1658492336).

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

869936112 is an frugal number, since it uses more digits than its factorization.

869936112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8319 (or 8292 counting only the distinct ones).

The product of its digits is 139968, while the sum is 45.

The square root of 869936112 is about 29494.6793845941. The cubic root of 869936112 is about 954.6169025258.

The spelling of 869936112 in words is "eight hundred sixty-nine million, nine hundred thirty-six thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 729 972 1296 1458 1944 2187 2916 3888 4374 5832 6561 8287 8748 11664 13122 16574 17496 24861 26244 33148 34992 49722 52488 66296 74583 99444 104976 132592 149166 198888 223749 298332 397776 447498 596664 671247 894996 1193328 1342494 1789992 2013741 2684988 3579984 4027482 5369976 6041223 8054964 10739952 12082446 16109928 18123669 24164892 32219856 36247338 48329784 54371007 72494676 96659568 108742014 144989352 217484028 289978704 434968056 869936112