Search a number
-
+
5142265268 = 227299765287
BaseRepresentation
bin1001100101000000…
…01011110110110100
3111021101002010211012
410302200023312310
541012404442033
62210132331352
7241300351010
oct46240136664
914241063735
105142265268
1121a9747008
12bb6173b58
1363c48001a
1436ad35540
152016a9248
hex13280bdb4

5142265268 has 48 divisors (see below), whose sum is σ = 10749016320. Its totient is φ = 2105865216.

The previous prime is 5142265267. The next prime is 5142265313. The reversal of 5142265268 is 8625622415.

It is a super-2 number, since 2×51422652682 = 52885784172958223648, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5142265267) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46121 + ... + 111407.

It is an arithmetic number, because the mean of its divisors is an integer number (223937840).

Almost surely, 25142265268 is an apocalyptic number.

5142265268 is a gapful number since it is divisible by the number (58) 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 5142265268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5374508160).

5142265268 is an abundant number, since it is smaller than the sum of its proper divisors (5606751052).

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

5142265268 is a wasteful number, since it uses less digits than its factorization.

5142265268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65424 (or 65422 counting only the distinct ones).

The product of its digits is 230400, while the sum is 41.

The square root of 5142265268 is about 71709.5897910454. The cubic root of 5142265268 is about 1726.0425280227.

The spelling of 5142265268 in words is "five billion, one hundred forty-two million, two hundred sixty-five thousand, two hundred sixty-eight".

Divisors: 1 2 4 7 14 28 29 58 97 116 194 203 388 406 679 812 1358 2716 2813 5626 11252 19691 39382 65287 78764 130574 261148 457009 914018 1828036 1893323 3786646 6332839 7573292 12665678 13253261 25331356 26506522 44329873 53013044 88659746 177319492 183652331 367304662 734609324 1285566317 2571132634 5142265268