Search a number
-
+
2544106312 = 231126739227
BaseRepresentation
bin1001011110100011…
…1111101101001000
320120022011222202201
42113220333231020
520202242400222
61100241005544
7120021355366
oct22750775510
96508158681
102544106312
111096099800
125b00238b4
13317103067
141a1c52636
15ed53e427
hex97a3fb48

2544106312 has 48 divisors (see below), whose sum is σ = 5321670480. Its totient is φ = 1139123040.

The previous prime is 2544106307. The next prime is 2544106319. The reversal of 2544106312 is 2136014452.

It is not an unprimeable number, because it can be changed into a prime (2544106319) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45243 + ... + 84469.

It is an arithmetic number, because the mean of its divisors is an integer number (110868135).

Almost surely, 22544106312 is an apocalyptic number.

2544106312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2544106312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2660835240).

2544106312 is an abundant number, since it is smaller than the sum of its proper divisors (2777564168).

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

2544106312 is a wasteful number, since it uses less digits than its factorization.

2544106312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39322 (or 39307 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 2544106312 is about 50439.1347269162. The cubic root of 2544106312 is about 1365.1438549207.

The spelling of 2544106312 in words is "two billion, five hundred forty-four million, one hundred six thousand, three hundred twelve".

Divisors: 1 2 4 8 11 22 44 67 88 121 134 242 268 484 536 737 968 1474 2948 5896 8107 16214 32428 39227 64856 78454 156908 313816 431497 862994 1725988 2628209 3451976 4746467 5256418 9492934 10512836 18985868 21025672 28910299 37971736 57820598 115641196 231282392 318013289 636026578 1272053156 2544106312