Search a number
-
+
4349890560 = 2123583853
BaseRepresentation
bin1000000110100011…
…00001000000000000
3102020011002100001210
410003101201000000
532402032444220
61555345130120
7212536313451
oct40321410000
912204070053
104349890560
111932444184
12a14929940
13544269b52
142d39d3128
151a6d3b6e0
hex103461000

4349890560 has 208 divisors, whose sum is σ = 14102149824. Its totient is φ = 1144651776.

The previous prime is 4349890547. The next prime is 4349890619. The reversal of 4349890560 is 650989434.

It is a super-2 number, since 2×43498905602 = 37843095767954227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5099094 + ... + 5099946.

Almost surely, 24349890560 is an apocalyptic number.

4349890560 is a gapful number since it is divisible by the number (40) 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 4349890560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7051074912).

4349890560 is an abundant number, since it is smaller than the sum of its proper divisors (9752259264).

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

4349890560 is an equidigital number, since it uses as much as digits as its factorization.

4349890560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 968 (or 946 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 48.

The square root of 4349890560 is about 65953.7001236473. The cubic root of 4349890560 is about 1632.3982111707.

The spelling of 4349890560 in words is "four billion, three hundred forty-nine million, eight hundred ninety thousand, five hundred sixty".