Search a number
-
+
5090480 = 2451719197
BaseRepresentation
bin10011011010110010110000
3100120121211022
4103122302300
52300343410
6301035012
761161023
oct23326260
910517738
105090480
11296760a
121855a68
131093025
149671ba
156a8455
hex4dacb0

5090480 has 80 divisors (see below), whose sum is σ = 13258080. Its totient is φ = 1806336.

The previous prime is 5090471. The next prime is 5090483. The reversal of 5090480 is 840905.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5090483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25742 + ... + 25938.

It is an arithmetic number, because the mean of its divisors is an integer number (165726).

Almost surely, 25090480 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 5090480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6629040).

5090480 is an abundant number, since it is smaller than the sum of its proper divisors (8167600).

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

5090480 is a wasteful number, since it uses less digits than its factorization.

5090480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 5090480 is about 2256.2092101576. The cubic root of 5090480 is about 172.0228922117.

The spelling of 5090480 in words is "five million, ninety thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 17 19 20 34 38 40 68 76 80 85 95 136 152 170 190 197 272 304 323 340 380 394 646 680 760 788 985 1292 1360 1520 1576 1615 1970 2584 3152 3230 3349 3743 3940 5168 6460 6698 7486 7880 12920 13396 14972 15760 16745 18715 25840 26792 29944 33490 37430 53584 59888 63631 66980 74860 127262 133960 149720 254524 267920 299440 318155 509048 636310 1018096 1272620 2545240 5090480