Search a number
-
+
5300041616 = 242337419929
BaseRepresentation
bin1001110111110100…
…00011011110010000
3111200100222000021122
410323322003132100
541323302312431
62233530141412
7245224416242
oct47372033620
914610860248
105300041616
11227a80a791
12103ab81868
136660725cc
14383c86092
15210472a7b
hex13be83790

5300041616 has 80 divisors (see below), whose sum is σ = 11043043200. Its totient is φ = 2457759744.

The previous prime is 5300041613. The next prime is 5300041687. The reversal of 5300041616 is 6161400035.

It is a super-2 number, since 2×53000416162 = 56180882262663782912, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5300041613) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5704640 + ... + 5705568.

It is an arithmetic number, because the mean of its divisors is an integer number (138038040).

Almost surely, 25300041616 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 5300041616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5521521600).

5300041616 is an abundant number, since it is smaller than the sum of its proper divisors (5743001584).

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

5300041616 is a wasteful number, since it uses less digits than its factorization.

5300041616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1416 (or 1410 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 5300041616 is about 72801.3847121056. The cubic root of 5300041616 is about 1743.5179646528.

The spelling of 5300041616 in words is "five billion, three hundred million, forty-one thousand, six hundred sixteen".

Divisors: 1 2 4 8 16 23 37 46 74 92 148 184 296 368 419 592 838 851 929 1676 1702 1858 3352 3404 3716 6704 6808 7432 9637 13616 14864 15503 19274 21367 31006 34373 38548 42734 62012 68746 77096 85468 124024 137492 154192 170936 248048 274984 341872 356569 389251 549968 713138 778502 790579 1426276 1557004 1581158 2852552 3114008 3162316 5705104 6228016 6324632 8952773 12649264 14402287 17905546 28804574 35811092 57609148 71622184 115218296 143244368 230436592 331252601 662505202 1325010404 2650020808 5300041616