Search a number
-
+
5305088 = 28172353
BaseRepresentation
bin10100001111001100000000
3100222112012202
4110033030000
52324230323
6305412332
763043505
oct24171400
910875182
105305088
112aa3878
12193a0a8
131139909
149c14ac
156ebd28
hex50f300

5305088 has 72 divisors (see below), whose sum is σ = 11920608. Its totient is φ = 2342912.

The previous prime is 5305073. The next prime is 5305093. The reversal of 5305088 is 8805035.

It is a self number, because there is not a number n which added to its sum of digits gives 5305088.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 100070 + ... + 100122.

It is an arithmetic number, because the mean of its divisors is an integer number (165564).

Almost surely, 25305088 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 5305088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5960304).

5305088 is an abundant number, since it is smaller than the sum of its proper divisors (6615520).

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

5305088 is a wasteful number, since it uses less digits than its factorization.

5305088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 29.

The square root of 5305088 is about 2303.2776645468. The cubic root of 5305088 is about 174.4071147113.

The spelling of 5305088 in words is "five million, three hundred five thousand, eighty-eight".

Divisors: 1 2 4 8 16 17 23 32 34 46 53 64 68 92 106 128 136 184 212 256 272 368 391 424 544 736 782 848 901 1088 1219 1472 1564 1696 1802 2176 2438 2944 3128 3392 3604 4352 4876 5888 6256 6784 7208 9752 12512 13568 14416 19504 20723 25024 28832 39008 41446 50048 57664 78016 82892 100096 115328 156032 165784 230656 312064 331568 663136 1326272 2652544 5305088