Search a number
-
+
5305020408 = 23321721092339
BaseRepresentation
bin1001111000011010…
…00010111111111000
3111200201022221220100
410330031002333320
541331041123113
62234224555400
7245314633542
oct47415027770
914621287810
105305020408
112282600396
121040782b60
136670c683c
143847c0692
15210b07d73
hex13c342ff8

5305020408 has 144 divisors (see below), whose sum is σ = 15409251000. Its totient is φ = 1648346112.

The previous prime is 5305020361. The next prime is 5305020437. The reversal of 5305020408 is 8040205035.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2266903 + ... + 2269241.

Almost surely, 25305020408 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 5305020408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7704625500).

5305020408 is an abundant number, since it is smaller than the sum of its proper divisors (10104230592).

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

5305020408 is a wasteful number, since it uses less digits than its factorization.

5305020408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2494 (or 2470 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 5305020408 is about 72835.5710350375. The cubic root of 5305020408 is about 1744.0637400251.

The spelling of 5305020408 in words is "five billion, three hundred five million, twenty thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 109 136 153 204 218 289 306 327 408 436 578 612 654 867 872 981 1156 1224 1308 1734 1853 1962 2312 2339 2601 2616 3468 3706 3924 4678 5202 5559 6936 7017 7412 7848 9356 10404 11118 14034 14824 16677 18712 20808 21051 22236 28068 31501 33354 39763 42102 44472 56136 63002 66708 79526 84204 94503 119289 126004 133416 159052 168408 189006 238578 252008 254951 283509 318104 357867 378012 477156 509902 567018 675971 715734 756024 764853 954312 1019804 1134036 1351942 1431468 1529706 2027913 2039608 2268072 2294559 2703884 2862936 3059412 4055826 4334167 4589118 5407768 6083739 6118824 8111652 8668334 9178236 12167478 13002501 16223304 17336668 18356472 24334956 26005002 34673336 39007503 48669912 52010004 73680839 78015006 104020008 147361678 156030012 221042517 294723356 312060024 442085034 589446712 663127551 884170068 1326255102 1768340136 2652510204 5305020408