Search a number
-
+
2825779032 = 23321719711719
BaseRepresentation
bin1010100001101101…
…1111011101011000
321021221012110002200
42220123133131120
521241344412112
61144222130200
7130011503556
oct25033373530
97257173080
102825779032
11122009567a
1266a420960
13360584bcb
141cb414bd6
1511812ccdc
hexa86df758

2825779032 has 96 divisors (see below), whose sum is σ = 8145165600. Its totient is φ = 881943552.

The previous prime is 2825779001. The next prime is 2825779039. The reversal of 2825779032 is 2309775282.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2825779039) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 235269 + ... + 246987.

It is an arithmetic number, because the mean of its divisors is an integer number (84845475).

Almost surely, 22825779032 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 2825779032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4072582800).

2825779032 is an abundant number, since it is smaller than the sum of its proper divisors (5319386568).

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

2825779032 is a wasteful number, since it uses less digits than its factorization.

2825779032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11945 (or 11938 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 2825779032 is about 53158.0570751039. The cubic root of 2825779032 is about 1413.7720757739.

The spelling of 2825779032 in words is "two billion, eight hundred twenty-five million, seven hundred seventy-nine thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 197 204 306 394 408 591 612 788 1182 1224 1576 1773 2364 3349 3546 4728 6698 7092 10047 11719 13396 14184 20094 23438 26792 30141 35157 40188 46876 60282 70314 80376 93752 105471 120564 140628 199223 210942 241128 281256 398446 421884 597669 796892 843768 1195338 1593784 1793007 2308643 2390676 3586014 4617286 4781352 6925929 7172028 9234572 13851858 14344056 18469144 20777787 27703716 39246931 41555574 55407432 78493862 83111148 117740793 156987724 166222296 235481586 313975448 353222379 470963172 706444758 941926344 1412889516 2825779032