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2046000450 = 23521341157163
BaseRepresentation
bin111100111110011…
…0111110101000010
312021120220120222110
41321330313311002
513142234003300
6535004520150
7101462500614
oct17174676502
95246816873
102046000450
1195aa0646a
12491250056
13267b62170
14155a30db4
15be94c550
hex79f37d42

2046000450 has 192 divisors, whose sum is σ = 5667887232. Its totient is φ = 485222400.

The previous prime is 2046000449. The next prime is 2046000469. The reversal of 2046000450 is 540006402.

It is a happy number.

It is a super-2 number, since 2×20460004502 = 8372235682800405000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12552069 + ... + 12552231.

It is an arithmetic number, because the mean of its divisors is an integer number (29520246).

Almost surely, 22046000450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2046000450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2833943616).

2046000450 is an abundant number, since it is smaller than the sum of its proper divisors (3621886782).

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

2046000450 is a wasteful number, since it uses less digits than its factorization.

2046000450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 2046000450 is about 45232.7364858683. The cubic root of 2046000450 is about 1269.5074143176.

Adding to 2046000450 its reverse (540006402), we get a palindrome (2586006852).

The spelling of 2046000450 in words is "two billion, forty-six million, four hundred fifty", and thus it is an aban number.