Search a number
-
+
5334459930 = 235511319427
BaseRepresentation
bin1001111011111010…
…10110011000011010
3111202202201122100000
410331331112120122
541411110204210
62241155553430
7246123106212
oct47575263032
914682648300
105334459930
112298188778
12104a5bb876
13670233687
14388685242
152134c0ac0
hex13df5661a

5334459930 has 96 divisors (see below), whose sum is σ = 14511317184. Its totient is φ = 1409861376.

The previous prime is 5334459913. The next prime is 5334459947. The reversal of 5334459930 is 399544335.

5334459930 is a `hidden beast` number, since 53 + 3 + 4 + 4 + 599 + 3 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5334459913) and next prime (5334459947).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 264877 + ... + 284303.

It is an arithmetic number, because the mean of its divisors is an integer number (151159554).

Almost surely, 25334459930 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5334459930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7255658592).

5334459930 is an abundant number, since it is smaller than the sum of its proper divisors (9176857254).

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

5334459930 is a wasteful number, since it uses less digits than its factorization.

5334459930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19562 (or 19550 counting only the distinct ones).

The product of its (nonzero) digits is 874800, while the sum is 45.

The square root of 5334459930 is about 73037.3872068272. The cubic root of 5334459930 is about 1747.2839424163.

The spelling of 5334459930 in words is "five billion, three hundred thirty-four million, four hundred fifty-nine thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 113 135 162 226 243 270 339 405 486 565 678 810 1017 1130 1215 1695 2034 2430 3051 3390 5085 6102 9153 10170 15255 18306 19427 27459 30510 38854 45765 54918 58281 91530 97135 116562 137295 174843 194270 274590 291405 349686 524529 582810 874215 1049058 1573587 1748430 2195251 2622645 3147174 4390502 4720761 5245290 6585753 7867935 9441522 10976255 13171506 15735870 19757259 21952510 23603805 32928765 39514518 47207610 59271777 65857530 98786295 118543554 177815331 197572590 296358885 355630662 533445993 592717770 889076655 1066891986 1778153310 2667229965 5334459930