Search a number
-
+
2602241536 = 2916331181
BaseRepresentation
bin1001101100011011…
…0000111000000000
320201100120120022011
42123012300320000
520312133212121
61110115022304
7121325455006
oct23306607000
96640516264
102602241536
111115996644
1260759a994
133261792bb
141a9866a76
151036c47e1
hex9b1b0e00

2602241536 has 40 divisors (see below), whose sum is σ = 5231466504. Its totient is φ = 1293096960.

The previous prime is 2602241533. The next prime is 2602241549. The reversal of 2602241536 is 6351422062.

It is a super-2 number, since 2×26022415362 = 13543322023367278592, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2602241498 and 2602241507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2602241533) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 67866 + ... + 99046.

Almost surely, 22602241536 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 2602241536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2615733252).

2602241536 is an abundant number, since it is smaller than the sum of its proper divisors (2629224968).

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

2602241536 is an equidigital number, since it uses as much as digits as its factorization.

2602241536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31362 (or 31346 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

The square root of 2602241536 is about 51012.1704694086. The cubic root of 2602241536 is about 1375.4639159230.

Adding to 2602241536 its reverse (6351422062), we get a palindrome (8953663598).

The spelling of 2602241536 in words is "two billion, six hundred two million, two hundred forty-one thousand, five hundred thirty-six".

Divisors: 1 2 4 8 16 32 64 128 163 256 326 512 652 1304 2608 5216 10432 20864 31181 41728 62362 83456 124724 249448 498896 997792 1995584 3991168 5082503 7982336 10165006 15964672 20330012 40660024 81320048 162640096 325280192 650560384 1301120768 2602241536