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2892064632 = 2331949112917
BaseRepresentation
bin1010110001100001…
…0110011101111000
321110112221002211220
42230120112131320
521410332032012
61154550552040
7131445100212
oct25430263570
97415832756
102892064632
111254549a66
12688668620
13371222b62
141d614b5b2
1511dd7308c
hexac616778

2892064632 has 64 divisors (see below), whose sum is σ = 7626787200. Its totient is φ = 911352960.

The previous prime is 2892064619. The next prime is 2892064639. The reversal of 2892064632 is 2364602982.

2892064632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2892064639) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 217438 + ... + 230354.

It is an arithmetic number, because the mean of its divisors is an integer number (119168550).

Almost surely, 22892064632 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 2892064632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3813393600).

2892064632 is an abundant number, since it is smaller than the sum of its proper divisors (4734722568).

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

2892064632 is a wasteful number, since it uses less digits than its factorization.

2892064632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13436 (or 13432 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The square root of 2892064632 is about 53777.9195581235. The cubic root of 2892064632 is about 1424.7412489253.

The spelling of 2892064632 in words is "two billion, eight hundred ninety-two million, sixty-four thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 228 456 491 982 1473 1964 2946 3928 5892 9329 11784 12917 18658 25834 27987 37316 38751 51668 55974 74632 77502 103336 111948 155004 223896 245423 310008 490846 736269 981692 1472538 1963384 2945076 5890152 6342247 12684494 19026741 25368988 38053482 50737976 76106964 120502693 152213928 241005386 361508079 482010772 723016158 964021544 1446032316 2892064632