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2553314344 = 237219333749
BaseRepresentation
bin1001100000110000…
…0111110000101000
320120221111210210221
42120030013300220
520212122024334
61101210215424
7120162546100
oct23014076050
96527453727
102553314344
1110a0308949
125b3124574
13318ca82b9
141a316c200
15ee25c8b4
hex98307c28

2553314344 has 48 divisors (see below), whose sum is σ = 5598112500. Its totient is φ = 1088575488.

The previous prime is 2553314333. The next prime is 2553314359. The reversal of 2553314344 is 4434133552.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 2516226244 + 37088100 = 50162^2 + 6090^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 58782 + ... + 92530.

Almost surely, 22553314344 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 2553314344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2799056250).

2553314344 is an abundant number, since it is smaller than the sum of its proper divisors (3044798156).

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

2553314344 is a wasteful number, since it uses less digits than its factorization.

2553314344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33962 (or 33951 counting only the distinct ones).

The product of its digits is 86400, while the sum is 34.

The square root of 2553314344 is about 50530.3309310359. The cubic root of 2553314344 is about 1366.7888534288.

Adding to 2553314344 its reverse (4434133552), we get a palindrome (6987447896).

The spelling of 2553314344 in words is "two billion, five hundred fifty-three million, three hundred fourteen thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 28 49 56 98 193 196 386 392 772 1351 1544 2702 5404 9457 10808 18914 33749 37828 67498 75656 134996 236243 269992 472486 944972 1653701 1889944 3307402 6513557 6614804 13027114 13229608 26054228 45594899 52108456 91189798 182379596 319164293 364759192 638328586 1276657172 2553314344