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8249040 = 243451967
BaseRepresentation
bin11111011101111011010000
3120112002120000
4133131323100
54102432130
6452450000
7130054452
oct37357320
916462500
108249040
114724698
122919900
13192a8b7
14114a2d2
15ace260
hex7dded0

8249040 has 200 divisors, whose sum is σ = 30608160. Its totient is φ = 2052864.

The previous prime is 8249023. The next prime is 8249041. The reversal of 8249040 is 409428.

8249040 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 8248995 and 8249013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8249041) 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, 123087 + ... + 123153.

Almost surely, 28249040 is an apocalyptic number.

8249040 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8249040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15304080).

8249040 is an abundant number, since it is smaller than the sum of its proper divisors (22359120).

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

8249040 is a wasteful number, since it uses less digits than its factorization.

8249040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 8249040 is about 2872.1142038575. The cubic root of 8249040 is about 202.0541631707.

The spelling of 8249040 in words is "eight million, two hundred forty-nine thousand, forty".