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8825040 = 24325717103
BaseRepresentation
bin100001101010…
…100011010000
3121121100200100
4201222203100
54224400130
6513052400
7135003660
oct41524320
917540610
108825040
114a88424
122b57100
131a9cb23
14125a1a0
15b94c60
hex86a8d0

8825040 has 240 divisors, whose sum is σ = 36211968. Its totient is φ = 1880064.

The previous prime is 8825027. The next prime is 8825041. The reversal of 8825040 is 405288.

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

It is a junction number, because it is equal to n+sod(n) for n = 8824995 and 8825013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8825041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 85629 + ... + 85731.

Almost surely, 28825040 is an apocalyptic number.

8825040 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 8825040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18105984).

8825040 is an abundant number, since it is smaller than the sum of its proper divisors (27386928).

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

8825040 is a wasteful number, since it uses less digits than its factorization.

8825040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 8825040 is about 2970.6968879372. The cubic root of 8825040 is about 206.6516580614.

The spelling of 8825040 in words is "eight million, eight hundred twenty-five thousand, forty".