Search a number
-
+
2685407232 = 2123832633
BaseRepresentation
bin1010000000010000…
…0001000000000000
320221011001211012010
42200010001000000
520444431012412
61122245332520
7123355404414
oct24004010000
96834054163
102685407232
11115892a222
1262b407140
1333a477581
141b6914d44
1510ab5133c
hexa0101000

2685407232 has 104 divisors (see below), whose sum is σ = 7249231584. Its totient is φ = 884015104.

The previous prime is 2685407203. The next prime is 2685407239. The reversal of 2685407232 is 2327045862.

It is a super-2 number, since 2×26854072322 = 14422824003355803648, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2685407239) 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, 1018588 + ... + 1021220.

Almost surely, 22685407232 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 2685407232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3624615792).

2685407232 is an abundant number, since it is smaller than the sum of its proper divisors (4563824352).

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

2685407232 is an equidigital number, since it uses as much as digits as its factorization.

2685407232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2743 (or 2721 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 39.

The square root of 2685407232 is about 51820.9150054300. The cubic root of 2685407232 is about 1389.9634640087.

The spelling of 2685407232 in words is "two billion, six hundred eighty-five million, four hundred seven thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 83 96 128 166 192 249 256 332 384 498 512 664 768 996 1024 1328 1536 1992 2048 2633 2656 3072 3984 4096 5266 5312 6144 7899 7968 10532 10624 12288 15798 15936 21064 21248 31596 31872 42128 42496 63192 63744 84256 84992 126384 127488 168512 169984 218539 252768 254976 337024 339968 437078 505536 509952 655617 674048 874156 1011072 1019904 1311234 1348096 1748312 2022144 2622468 2696192 3496624 4044288 5244936 5392384 6993248 8088576 10489872 10784768 13986496 16177152 20979744 27972992 32354304 41959488 55945984 83918976 111891968 167837952 223783936 335675904 447567872 671351808 895135744 1342703616 2685407232