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2045551440 = 24358523131
BaseRepresentation
bin111100111101100…
…1010001101010000
312021120001210001110
41321323022031100
513142130121230
6534551133320
7101455620552
oct17173121520
95246053043
102045551440
1195a72a089
12491074240
13267a3598a
141559554d2
15be8ae4b0
hex79eca350

2045551440 has 40 divisors (see below), whose sum is σ = 6341210208. Its totient is φ = 545480320.

The previous prime is 2045551439. The next prime is 2045551441. The reversal of 2045551440 is 441555402.

2045551440 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2045551439) and next prime (2045551441).

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2045551398 and 2045551407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2045551441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4261326 + ... + 4261805.

Almost surely, 22045551440 is an apocalyptic number.

2045551440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2045551440 is an abundant number, since it is smaller than the sum of its proper divisors (4295658768).

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

2045551440 is a wasteful number, since it uses less digits than its factorization.

2045551440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8523147 (or 8523141 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 30.

The square root of 2045551440 is about 45227.7728834839. The cubic root of 2045551440 is about 1269.4145399119.

The spelling of 2045551440 in words is "two billion, forty-five million, five hundred fifty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 8523131 17046262 25569393 34092524 42615655 51138786 68185048 85231310 102277572 127846965 136370096 170462620 204555144 255693930 340925240 409110288 511387860 681850480 1022775720 2045551440