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2892261064 = 237311231281
BaseRepresentation
bin1010110001100100…
…0110011011001000
321110120022002022011
42230121012123020
521410404323224
61154555105304
7131446546000
oct25431063310
97416262264
102892261064
111254673600
12688742234
133712913a4
141d619d000
1511ddb1394
hexac6466c8

2892261064 has 192 divisors, whose sum is σ = 7201152000. Its totient is φ = 1086624000.

The previous prime is 2892261061. The next prime is 2892261067. The reversal of 2892261064 is 4601622982.

It is an interprime number because it is at equal distance from previous prime (2892261061) and next prime (2892261067).

It is not an unprimeable number, because it can be changed into a prime (2892261061) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10292604 + ... + 10292884.

It is an arithmetic number, because the mean of its divisors is an integer number (37506000).

Almost surely, 22892261064 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 2892261064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3600576000).

2892261064 is an abundant number, since it is smaller than the sum of its proper divisors (4308890936).

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

2892261064 is a wasteful number, since it uses less digits than its factorization.

2892261064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 40.

The square root of 2892261064 is about 53779.7458528766. The cubic root of 2892261064 is about 1424.7735048247.

The spelling of 2892261064 in words is "two billion, eight hundred ninety-two million, two hundred sixty-one thousand, sixty-four".