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1989029952 = 263372132139
BaseRepresentation
bin111011010001110…
…0011000001000000
312010121201012011000
41312203203001000
513033142424302
6525211452000
7100201322100
oct16643430100
95117635130
101989029952
11930834708
12476157000
13259106100
1414c241200
15b994731c
hex768e3040

1989029952 has 504 divisors, whose sum is σ = 7418527200. Its totient is φ = 520805376.

The previous prime is 1989029909. The next prime is 1989029981. The reversal of 1989029952 is 2599209891.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14309499 + ... + 14309637.

It is an arithmetic number, because the mean of its divisors is an integer number (14719300).

Almost surely, 21989029952 is an apocalyptic number.

1989029952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1989029952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3709263600).

1989029952 is an abundant number, since it is smaller than the sum of its proper divisors (5429497248).

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

1989029952 is a wasteful number, since it uses less digits than its factorization.

1989029952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 1049760, while the sum is 54.

The square root of 1989029952 is about 44598.5420389501. The cubic root of 1989029952 is about 1257.6132595770.

The spelling of 1989029952 in words is "one billion, nine hundred eighty-nine million, twenty-nine thousand, nine hundred fifty-two".