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2045050800 = 2435213337389
BaseRepresentation
bin111100111100100…
…1111111110110000
312021112010100022020
41321321033332300
513142013111200
6534532311440
7101451434142
oct17171177660
95245110266
102045050800
1195a417a31
12490a72580
132678bbb40
14155864c92
15be810ea0
hex79e4ffb0

2045050800 has 240 divisors, whose sum is σ = 7094025120. Its totient is φ = 500613120.

The previous prime is 2045050783. The next prime is 2045050817. The reversal of 2045050800 is 80505402.

It is an interprime number because it is at equal distance from previous prime (2045050783) and next prime (2045050817).

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

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5257006 + ... + 5257394.

It is an arithmetic number, because the mean of its divisors is an integer number (29558438).

Almost surely, 22045050800 is an apocalyptic number.

2045050800 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 2045050800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3547012560).

2045050800 is an abundant number, since it is smaller than the sum of its proper divisors (5048974320).

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

2045050800 is a wasteful number, since it uses less digits than its factorization.

2045050800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 760 (or 749 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 2045050800 is about 45222.2378924352. The cubic root of 2045050800 is about 1269.3109701952.

The spelling of 2045050800 in words is "two billion, forty-five million, fifty thousand, eight hundred".