Search a number
-
+
5538480 = 243547491
BaseRepresentation
bin10101001000001010110000
3101102101100220
4111020022300
52404212410
6314413040
765035113
oct25101260
911371326
105538480
113143162
121a31180
1311bbc0c
14a4257a
15746070
hex5482b0

5538480 has 80 divisors (see below), whose sum is σ = 17570304. Its totient is φ = 1442560.

The previous prime is 5538473. The next prime is 5538487. The reversal of 5538480 is 848355.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (5538473) and next prime (5538487).

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

It is not an unprimeable number, because it can be changed into a prime (5538487) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11035 + ... + 11525.

Almost surely, 25538480 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 5538480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8785152).

5538480 is an abundant number, since it is smaller than the sum of its proper divisors (12031824).

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

5538480 is a wasteful number, since it uses less digits than its factorization.

5538480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 554 (or 548 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

The square root of 5538480 is about 2353.3975439776. The cubic root of 5538480 is about 176.9281204514.

The spelling of 5538480 in words is "five million, five hundred thirty-eight thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 47 48 60 80 94 120 141 188 235 240 282 376 470 491 564 705 752 940 982 1128 1410 1473 1880 1964 2256 2455 2820 2946 3760 3928 4910 5640 5892 7365 7856 9820 11280 11784 14730 19640 23077 23568 29460 39280 46154 58920 69231 92308 115385 117840 138462 184616 230770 276924 346155 369232 461540 553848 692310 923080 1107696 1384620 1846160 2769240 5538480