Search a number
-
+
869412032 = 26194671531
BaseRepresentation
bin110011110100100…
…010110011000000
32020120221201002122
4303310202303000
53240032141112
6222134303412
730354610646
oct6364426300
92216851078
10869412032
11406840145
122031b7b68
1310b176bb8
1483677196
15514d8872
hex33d22cc0

869412032 has 56 divisors (see below), whose sum is σ = 1821119040. Its totient is φ = 410676480.

The previous prime is 869411999. The next prime is 869412059. The reversal of 869412032 is 230214968.

It is a junction number, because it is equal to n+sod(n) for n = 869411983 and 869412001.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 567107 + ... + 568637.

Almost surely, 2869412032 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 869412032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (910559520).

869412032 is an abundant number, since it is smaller than the sum of its proper divisors (951707008).

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

869412032 is a wasteful number, since it uses less digits than its factorization.

869412032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2029 (or 2019 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 35.

The square root of 869412032 is about 29485.7937318974. The cubic root of 869412032 is about 954.4251657924.

The spelling of 869412032 in words is "eight hundred sixty-nine million, four hundred twelve thousand, thirty-two".

Divisors: 1 2 4 8 16 19 32 38 64 76 152 304 467 608 934 1216 1531 1868 3062 3736 6124 7472 8873 12248 14944 17746 24496 29089 29888 35492 48992 58178 70984 97984 116356 141968 232712 283936 465424 567872 714977 930848 1429954 1861696 2859908 5719816 11439632 13584563 22879264 27169126 45758528 54338252 108676504 217353008 434706016 869412032