Search a number
-
+
2054246364 = 2232372336619
BaseRepresentation
bin111101001110001…
…0100111111011100
312022011102112020200
41322130110333130
513201341340424
6535501343500
7101622543312
oct17234247734
95264375220
102054246364
11964628775
12493b67b90
1326978b4c1
14156b7a0b2
15c052a8c9
hex7a714fdc

2054246364 has 72 divisors (see below), whose sum is σ = 5356718640. Its totient is φ = 663282432.

The previous prime is 2054246333. The next prime is 2054246377. The reversal of 2054246364 is 4636424502.

2054246364 is a `hidden beast` number, since 2 + 0 + 54 + 246 + 364 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 307047 + ... + 313665.

It is an arithmetic number, because the mean of its divisors is an integer number (74398870).

Almost surely, 22054246364 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 2054246364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2678359320).

2054246364 is an abundant number, since it is smaller than the sum of its proper divisors (3302472276).

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

2054246364 is a wasteful number, since it uses less digits than its factorization.

2054246364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6899 (or 6894 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The square root of 2054246364 is about 45323.7946778511. The cubic root of 2054246364 is about 1271.2106099530.

The spelling of 2054246364 in words is "two billion, fifty-four million, two hundred forty-six thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 233 333 444 466 666 699 932 1332 1398 2097 2796 4194 6619 8388 8621 13238 17242 19857 25863 26476 34484 39714 51726 59571 77589 79428 103452 119142 155178 238284 244903 310356 489806 734709 979612 1469418 1542227 2204127 2938836 3084454 4408254 4626681 6168908 8816508 9253362 13880043 18506724 27760086 55520172 57062399 114124798 171187197 228249596 342374394 513561591 684748788 1027123182 2054246364