Search a number
-
+
5045280 = 253523457
BaseRepresentation
bin10011001111110000100000
3100111022211020
4103033300200
52242422110
6300045440
760612162
oct23176040
910438736
105045280
112936659
121833880
131078596
14954932
15699d70
hex4cfc20

5045280 has 96 divisors (see below), whose sum is σ = 16619904. Its totient is φ = 1284096.

The previous prime is 5045273. The next prime is 5045291. The reversal of 5045280 is 825405.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 5045280.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10812 + ... + 11268.

It is an arithmetic number, because the mean of its divisors is an integer number (173124).

Almost surely, 25045280 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 5045280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8309952).

5045280 is an abundant number, since it is smaller than the sum of its proper divisors (11574624).

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

5045280 is a wasteful number, since it uses less digits than its factorization.

5045280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 5045280 is about 2246.1700737032. The cubic root of 5045280 is about 171.5122290095.

The spelling of 5045280 in words is "five million, forty-five thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 32 40 46 48 60 69 80 92 96 115 120 138 160 184 230 240 276 345 368 457 460 480 552 690 736 914 920 1104 1371 1380 1828 1840 2208 2285 2742 2760 3656 3680 4570 5484 5520 6855 7312 9140 10511 10968 11040 13710 14624 18280 21022 21936 27420 31533 36560 42044 43872 52555 54840 63066 73120 84088 105110 109680 126132 157665 168176 210220 219360 252264 315330 336352 420440 504528 630660 840880 1009056 1261320 1681760 2522640 5045280