Search a number
-
+
5026080 = 253537283
BaseRepresentation
bin10011001011000100100000
3100110100111010
4103023010200
52241313310
6255420520
760502203
oct23130440
910410433
105026080
112923194
121824740
13106c917
1494b93a
15694320
hex4cb120

5026080 has 96 divisors (see below), whose sum is σ = 16317504. Its totient is φ = 1299456.

The previous prime is 5026069. The next prime is 5026093. The reversal of 5026080 is 806205.

It is a happy number.

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

It is a super-2 number, since 2×50260802 = 50522960332800, which contains 22 as substring.

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, 17619 + ... + 17901.

It is an arithmetic number, because the mean of its divisors is an integer number (169974).

Almost surely, 25026080 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 5026080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8158752).

5026080 is an abundant number, since it is smaller than the sum of its proper divisors (11291424).

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

5026080 is a wasteful number, since it uses less digits than its factorization.

5026080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 5026080 is about 2241.8920580617. The cubic root of 5026080 is about 171.2943870591.

The spelling of 5026080 in words is "five million, twenty-six thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 37 40 48 60 74 80 96 111 120 148 160 185 222 240 283 296 370 444 480 555 566 592 740 849 888 1110 1132 1184 1415 1480 1698 1776 2220 2264 2830 2960 3396 3552 4245 4440 4528 5660 5920 6792 8490 8880 9056 10471 11320 13584 16980 17760 20942 22640 27168 31413 33960 41884 45280 52355 62826 67920 83768 104710 125652 135840 157065 167536 209420 251304 314130 335072 418840 502608 628260 837680 1005216 1256520 1675360 2513040 5026080