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2059489152 = 273771051
BaseRepresentation
bin111101011000001…
…0100111110000000
312022112021220000000
41322300110332000
513204212123102
6540210000000
7102015240360
oct17260247600
95275256000
102059489152
11967589756
12495876000
1326a8a5946
141577429a0
15c0c1401c
hex7ac14f80

2059489152 has 256 divisors, whose sum is σ = 7039142400. Its totient is φ = 587865600.

The previous prime is 2059489139. The next prime is 2059489169. The reversal of 2059489152 is 2519849502.

It is a happy number.

2059489152 is a `hidden beast` number, since 2 + 0 + 594 + 8 + 9 + 1 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2059489098 and 2059489107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1959027 + ... + 1960077.

It is an arithmetic number, because the mean of its divisors is an integer number (27496650).

Almost surely, 22059489152 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 2059489152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3519571200).

2059489152 is an abundant number, since it is smaller than the sum of its proper divisors (4979653248).

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

2059489152 is an frugal number, since it uses more digits than its factorization.

2059489152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1093 (or 1063 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The square root of 2059489152 is about 45381.5948595904. The cubic root of 2059489152 is about 1272.2911401928.

It can be divided in two parts, 20594 and 89152, that added together give a triangular number (109746 = T468).

The spelling of 2059489152 in words is "two billion, fifty-nine million, four hundred eighty-nine thousand, one hundred fifty-two".