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5248320 = 263571171
BaseRepresentation
bin10100000001010101000000
3100212122100020
4110001111000
52320421240
6304253440
762416140
oct24012500
910778306
105248320
112a65160
121911280
131119b1c
149a8920
156da0d0
hex501540

5248320 has 224 divisors, whose sum is σ = 21067776. Its totient is φ = 1075200.

The previous prime is 5248303. The next prime is 5248343. The reversal of 5248320 is 238425.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a d-powerful number, because it can be written as 55 + 220 + 43 + 82 + 37 + 222 + 0 .

It is a zygodrome in base 4.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73885 + ... + 73955.

Almost surely, 25248320 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 5248320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10533888).

5248320 is an abundant number, since it is smaller than the sum of its proper divisors (15819456).

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

5248320 is a wasteful number, since it uses less digits than its factorization.

5248320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 5248320 is about 2290.9212120891. The cubic root of 5248320 is about 173.7827914577.

The spelling of 5248320 in words is "five million, two hundred forty-eight thousand, three hundred twenty".