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2808923040 = 253257311247
BaseRepresentation
bin1010011101101100…
…1100001110100000
321020202111002000200
42213123030032200
521223041014130
61142420545200
7126415311000
oct24733141640
97222432020
102808923040
111211622500
12664852200
13359c32851
141c90a8000
151168ed760
hexa76cc3a0

2808923040 has 864 divisors, whose sum is σ = 12548390400. Its totient is φ = 571253760.

The previous prime is 2808923027. The next prime is 2808923041. The reversal of 2808923040 is 403298082.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2808922986 and 2808923004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2808923041) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 59764297 + ... + 59764343.

It is an arithmetic number, because the mean of its divisors is an integer number (14523600).

Almost surely, 22808923040 is an apocalyptic number.

2808923040 is a gapful number since it is divisible by the number (20) 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 2808923040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6274195200).

2808923040 is an abundant number, since it is smaller than the sum of its proper divisors (9739467360).

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

2808923040 is a wasteful number, since it uses less digits than its factorization.

2808923040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 2808923040 is about 52999.2739572912. The cubic root of 2808923040 is about 1410.9553808803.

The spelling of 2808923040 in words is "two billion, eight hundred eight million, nine hundred twenty-three thousand, forty".