Search a number
-
+
5240422688 = 256721912
BaseRepresentation
bin1001110000101101…
…01000000100100000
3111112012210001111012
410320112220010200
541213022011223
62224000240052
7243601600154
oct47026500440
914465701435
105240422688
11224a09a146
121023010028
136568c9c37
14379da7064
1520a0e7c78
hex1385a8120

5240422688 has 54 divisors (see below), whose sum is σ = 10528488243. Its totient is φ = 2567590080.

The previous prime is 5240422687. The next prime is 5240422711. The reversal of 5240422688 is 8862240425.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 2620211344 + 2620211344 = 51188^2 + 51188^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=51188.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5240422687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 27436673 + ... + 27436863.

Almost surely, 25240422688 is an apocalyptic number.

It is an amenable number.

5240422688 is an abundant number, since it is smaller than the sum of its proper divisors (5288065555).

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

5240422688 is an frugal number, since it uses more digits than its factorization.

5240422688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 41.

The square root of 5240422688 is about 72390.7638307540. The cubic root of 5240422688 is about 1736.9558222548.

The spelling of 5240422688 in words is "five billion, two hundred forty million, four hundred twenty-two thousand, six hundred eighty-eight".

Divisors: 1 2 4 8 16 32 67 134 191 268 382 536 764 1072 1528 2144 3056 4489 6112 8978 12797 17956 25594 35912 36481 51188 71824 72962 102376 143648 145924 204752 291848 409504 583696 857399 1167392 1714798 2444227 3429596 4888454 6859192 9776908 13718384 19553816 27436768 39107632 78215264 163763209 327526418 655052836 1310105672 2620211344 5240422688