Search a number
-
+
2039053932 = 2233193972503
BaseRepresentation
bin111100110001001…
…0111111001101100
312021002211200011000
41321202113321230
513133444211212
6534200000300
7101346446436
oct17142277154
95232750130
102039053932
11956aa1443
1248aa60090
1326659c3b6
14154b43656
15be0291dc
hex79897e6c

2039053932 has 96 divisors (see below), whose sum is σ = 5580915200. Its totient is φ = 642033216.

The previous prime is 2039053931. The next prime is 2039053957. The reversal of 2039053932 is 2393509302.

2039053932 is a `hidden beast` number, since 2 + 0 + 3 + 90 + 539 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2039053931) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 813393 + ... + 815895.

Almost surely, 22039053932 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 2039053932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2790457600).

2039053932 is an abundant number, since it is smaller than the sum of its proper divisors (3541861268).

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

2039053932 is a wasteful number, since it uses less digits than its factorization.

2039053932 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2932 (or 2924 counting only the distinct ones).

The product of its (nonzero) digits is 43740, while the sum is 36.

The square root of 2039053932 is about 45155.8847992153. The cubic root of 2039053932 is about 1268.0690543783.

The spelling of 2039053932 in words is "two billion, thirty-nine million, fifty-three thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 108 114 171 228 342 397 513 684 794 1026 1191 1588 2052 2382 2503 3573 4764 5006 7146 7509 7543 10012 10719 14292 15018 15086 21438 22527 22629 30036 30172 42876 45054 45258 47557 67581 67887 90108 90516 95114 135162 135774 142671 190228 203661 270324 271548 285342 407322 428013 570684 814644 856026 993691 1284039 1712052 1987382 2568078 2981073 3974764 5136156 5962146 8943219 11924292 17886438 18880129 26829657 35772876 37760258 53659314 56640387 75520516 107318628 113280774 169921161 226561548 339842322 509763483 679684644 1019526966 2039053932