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5480736 = 253371543
BaseRepresentation
bin10100111010000100100000
3101022110011020
4110322010200
52400340421
6313245440
764404552
oct24720440
911273136
105480736
113103838
121a03880
13119b851
14a294d2
15733dc6
hex53a120

5480736 has 48 divisors (see below), whose sum is σ = 14785344. Its totient is φ = 1776384.

The previous prime is 5480731. The next prime is 5480743. The reversal of 5480736 is 6370845.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 5480697 and 5480706.

It is not an unprimeable number, because it can be changed into a prime (5480731) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2781 + ... + 4323.

It is an arithmetic number, because the mean of its divisors is an integer number (308028).

Almost surely, 25480736 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 5480736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7392672).

5480736 is an abundant number, since it is smaller than the sum of its proper divisors (9304608).

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

5480736 is a wasteful number, since it uses less digits than its factorization.

5480736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1593 (or 1585 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 5480736 is about 2341.0971786750. The cubic root of 5480736 is about 176.3110889290.

It can be divided in two parts, 5480 and 736, that added together give a triangular number (6216 = T111).

The spelling of 5480736 in words is "five million, four hundred eighty thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 74 96 111 148 222 296 444 592 888 1184 1543 1776 3086 3552 4629 6172 9258 12344 18516 24688 37032 49376 57091 74064 114182 148128 171273 228364 342546 456728 685092 913456 1370184 1826912 2740368 5480736