Search a number
-
+
2097437524 = 2271354110651
BaseRepresentation
bin111110100000100…
…0101101101010100
312102011200212101021
41331001011231110
513243421000044
6544043210524
7102655632130
oct17501055524
95364625337
102097437524
11986a48946
124a6516a44
132757016c0
1415c7c03c0
15c420ce84
hex7d045b54

2097437524 has 48 divisors (see below), whose sum is σ = 4526333056. Its totient is φ = 828144000.

The previous prime is 2097437521. The next prime is 2097437539. The reversal of 2097437524 is 4257347902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2097437521) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 191599 + ... + 202249.

Almost surely, 22097437524 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 2097437524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2263166528).

2097437524 is an abundant number, since it is smaller than the sum of its proper divisors (2428895532).

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

2097437524 is a wasteful number, since it uses less digits than its factorization.

2097437524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11216 (or 11214 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 43.

The square root of 2097437524 is about 45797.7895099753. The cubic root of 2097437524 is about 1280.0580873704.

The spelling of 2097437524 in words is "two billion, ninety-seven million, four hundred thirty-seven thousand, five hundred twenty-four".

Divisors: 1 2 4 7 13 14 26 28 52 91 182 364 541 1082 2164 3787 7033 7574 10651 14066 15148 21302 28132 42604 49231 74557 98462 138463 149114 196924 276926 298228 553852 969241 1938482 3876964 5762191 11524382 23048764 40335337 74908483 80670674 149816966 161341348 299633932 524359381 1048718762 2097437524