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869749376 = 27173131277
BaseRepresentation
bin110011110101110…
…101001010000000
32020121120211211212
4303311311022000
53240123440001
6222145425252
730360514316
oct6365651200
92217524755
10869749376
11406a50641
1220333b228
1310b264602
14837240b6
15515537bb
hex33d75280

869749376 has 64 divisors (see below), whose sum is σ = 1841930280. Its totient is φ = 407666688.

The previous prime is 869749367. The next prime is 869749379. The reversal of 869749376 is 673947968.

It can be written as a sum of positive squares in 4 ways, for example, as 656589376 + 213160000 = 25624^2 + 14600^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (869749379) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 680450 + ... + 681726.

Almost surely, 2869749376 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 869749376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (920965140).

869749376 is an abundant number, since it is smaller than the sum of its proper divisors (972180904).

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

869749376 is a wasteful number, since it uses less digits than its factorization.

869749376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1621 (or 1609 counting only the distinct ones).

The product of its digits is 13716864, while the sum is 59.

The square root of 869749376 is about 29491.5136268046. The cubic root of 869749376 is about 954.5485932573.

The spelling of 869749376 in words is "eight hundred sixty-nine million, seven hundred forty-nine thousand, three hundred seventy-six".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 272 313 544 626 1088 1252 1277 2176 2504 2554 5008 5108 5321 10016 10216 10642 20032 20432 21284 21709 40064 40864 42568 43418 81728 85136 86836 163456 170272 173672 340544 347344 399701 681088 694688 799402 1389376 1598804 2778752 3197608 6395216 6794917 12790432 13589834 25580864 27179668 51161728 54359336 108718672 217437344 434874688 869749376