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2085792390 = 23351117109379
BaseRepresentation
bin111110001010010…
…1010101010000110
312101100210020021000
41330110222222012
513232430324030
6542545434130
7102454641243
oct17424525206
95340706230
102085792390
11980414770
124a263b946
132731850a6
1415b02c5ca
15c31ac860
hex7c52aa86

2085792390 has 256 divisors, whose sum is σ = 6500736000. Its totient is φ = 470292480.

The previous prime is 2085792377. The next prime is 2085792391. The reversal of 2085792390 is 932975802.

2085792390 is a `hidden beast` number, since 208 + 57 + 9 + 2 + 390 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2085792391) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5503221 + ... + 5503599.

It is an arithmetic number, because the mean of its divisors is an integer number (25393500).

Almost surely, 22085792390 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2085792390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3250368000).

2085792390 is an abundant number, since it is smaller than the sum of its proper divisors (4414943610).

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

2085792390 is a wasteful number, since it uses less digits than its factorization.

2085792390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 2085792390 is about 45670.4761306470. The cubic root of 2085792390 is about 1277.6846959598.

The spelling of 2085792390 in words is "two billion, eighty-five million, seven hundred ninety-two thousand, three hundred ninety".