Search a number
-
+
2554540938 = 2321723111579
BaseRepresentation
bin1001100001000011…
…0011001110001010
320121000211010101100
42120100303032022
520212430302223
61101252402230
7120206145135
oct23020631612
96530733340
102554540938
1110a0a76464
125b3616376
133193176b1
141a33ab21c
15ee401043
hex9843338a

2554540938 has 72 divisors (see below), whose sum is σ = 5902210080. Its totient is φ = 798341760.

The previous prime is 2554540909. The next prime is 2554540949. The reversal of 2554540938 is 8390454552.

2554540938 is a `hidden beast` number, since 2 + 554 + 5 + 4 + 0 + 93 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2554540893 and 2554540902.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1617033 + ... + 1618611.

It is an arithmetic number, because the mean of its divisors is an integer number (81975140).

Almost surely, 22554540938 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2554540938, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2951105040).

2554540938 is an abundant number, since it is smaller than the sum of its proper divisors (3347669142).

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

2554540938 is a wasteful number, since it uses less digits than its factorization.

2554540938 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1932 (or 1912 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The square root of 2554540938 is about 50542.4666790215. The cubic root of 2554540938 is about 1367.0076835967.

The spelling of 2554540938 in words is "two billion, five hundred fifty-four million, five hundred forty thousand, nine hundred thirty-eight".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 289 306 311 578 622 867 933 1579 1734 1866 2601 2799 3158 4737 5202 5287 5598 9474 10574 14211 15861 26843 28422 31722 47583 53686 80529 89879 95166 161058 179758 241587 269637 456331 483174 491069 539274 808911 912662 982138 1368993 1473207 1617822 2737986 2946414 4106979 4419621 8213958 8348173 8839242 16696346 25044519 50089038 75133557 141918941 150267114 283837882 425756823 851513646 1277270469 2554540938