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5662480 = 245371913
BaseRepresentation
bin10101100110011100010000
3101122200110111
4111212130100
52422144410
6321211104
766062455
oct25463420
911580414
105662480
11321833a
121a90a94
1312334a5
14a7582c
1576cb8a
hex566710

5662480 has 40 divisors (see below), whose sum is σ = 13528152. Its totient is φ = 2202624.

The previous prime is 5662477. The next prime is 5662487. The reversal of 5662480 is 842665.

It can be written as a sum of positive squares in 4 ways, for example, as 2676496 + 2985984 = 1636^2 + 1728^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (5662487) 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, 2004 + ... + 3916.

Almost surely, 25662480 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 5662480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6764076).

5662480 is an abundant number, since it is smaller than the sum of its proper divisors (7865672).

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

5662480 is a wasteful number, since it uses less digits than its factorization.

5662480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1963 (or 1957 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The square root of 5662480 is about 2379.5966044689. The cubic root of 5662480 is about 178.2387907373.

It can be divided in two parts, 5 and 662480, that multiplied together give a square (3312400 = 18202).

The spelling of 5662480 in words is "five million, six hundred sixty-two thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 37 40 74 80 148 185 296 370 592 740 1480 1913 2960 3826 7652 9565 15304 19130 30608 38260 70781 76520 141562 153040 283124 353905 566248 707810 1132496 1415620 2831240 5662480