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5352480 = 25345759
BaseRepresentation
bin10100011010110000100000
3101001221020000
4110122300200
52332234410
6310420000
763331620
oct24326040
911057200
105352480
113026441
121961600
131155363
149d4880
1570adc0
hex51ac20

5352480 has 240 divisors, whose sum is σ = 21954240. Its totient is φ = 1202688.

The previous prime is 5352463. The next prime is 5352481. The reversal of 5352480 is 842535.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (5352481) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 90691 + ... + 90749.

It is an arithmetic number, because the mean of its divisors is an integer number (91476).

Almost surely, 25352480 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 5352480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10977120).

5352480 is an abundant number, since it is smaller than the sum of its proper divisors (16601760).

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

5352480 is a wasteful number, since it uses less digits than its factorization.

5352480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 5352480 is about 2313.5427378806. The cubic root of 5352480 is about 174.9249201742.

It can be divided in two parts, 5352 and 480, that added together give a cube (5832 = 183).

The spelling of 5352480 in words is "five million, three hundred fifty-two thousand, four hundred eighty".