Search a number
-
+
2053778004 = 223435317957
BaseRepresentation
bin111101001101010…
…0010101001010100
312022010112201210000
41322122202221110
513201231344004
6535443331300
7101615552655
oct17232425124
95263481700
102053778004
119643388a3
12493980b30
13269656275
14156a9752c
15c0486c39
hex7a6a2a54

2053778004 has 60 divisors (see below), whose sum is σ = 5384490804. Its totient is φ = 682615296.

The previous prime is 2053778003. The next prime is 2053778017. The reversal of 2053778004 is 4008773502.

2053778004 is a `hidden beast` number, since 205 + 377 + 80 + 0 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1669539600 + 384238404 = 40860^2 + 19602^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 2053778004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2053778003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 105394 + ... + 123350.

Almost surely, 22053778004 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 2053778004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2692245402).

2053778004 is an abundant number, since it is smaller than the sum of its proper divisors (3330712800).

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

2053778004 is a wasteful number, since it uses less digits than its factorization.

2053778004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18326 (or 18315 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 2053778004 is about 45318.6275608607. The cubic root of 2053778004 is about 1271.1139922889.

The spelling of 2053778004 in words is "two billion, fifty-three million, seven hundred seventy-eight thousand, four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 353 706 1059 1412 2118 3177 4236 6354 9531 12708 17957 19062 28593 35914 38124 53871 57186 71828 107742 114372 161613 215484 323226 484839 646452 969678 1454517 1939356 2909034 5818068 6338821 12677642 19016463 25355284 38032926 57049389 76065852 114098778 171148167 228197556 342296334 513444501 684592668 1026889002 2053778004