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2042894592 = 283219232029
BaseRepresentation
bin111100111000100…
…0001100100000000
312021101001210112200
41321301001210000
513140440111332
6534414153200
7101424213624
oct17161014400
95241053480
102042894592
11959184a42
124901b2800
1326731558b
14155463184
15be53717c
hex79c41900

2042894592 has 216 divisors, whose sum is σ = 6472939200. Its totient is φ = 616771584.

The previous prime is 2042894591. The next prime is 2042894639. The reversal of 2042894592 is 2954982402.

It is not an unprimeable number, because it can be changed into a prime (2042894591) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1005834 + ... + 1007862.

Almost surely, 22042894592 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2042894592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3236469600).

2042894592 is an abundant number, since it is smaller than the sum of its proper divisors (4430044608).

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

2042894592 is a wasteful number, since it uses less digits than its factorization.

2042894592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2093 (or 2076 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 2042894592 is about 45198.3914758036. The cubic root of 2042894592 is about 1268.8647121823.

The spelling of 2042894592 in words is "two billion, forty-two million, eight hundred ninety-four thousand, five hundred ninety-two".