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2425994844 = 22371310321569
BaseRepresentation
bin1001000010011001…
…1011111001011100
320021001221022021220
42100212123321130
514432023313334
61040421253340
7114055421160
oct22046337134
96231838256
102425994844
111035457919
12578564250
132c87ba910
141902a8ca0
15e2ead449
hex9099be5c

2425994844 has 96 divisors (see below), whose sum is σ = 7034926080. Its totient is φ = 633581568.

The previous prime is 2425994833. The next prime is 2425994849. The reversal of 2425994844 is 4484995242.

2425994844 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×24259948442 = 11770901966229168672, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2425994849) 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, 101692 + ... + 123260.

It is an arithmetic number, because the mean of its divisors is an integer number (73280480).

Almost surely, 22425994844 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 2425994844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3517463040).

2425994844 is an abundant number, since it is smaller than the sum of its proper divisors (4608931236).

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

2425994844 is a wasteful number, since it uses less digits than its factorization.

2425994844 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21699 (or 21697 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 51.

The square root of 2425994844 is about 49254.3890836137. The cubic root of 2425994844 is about 1343.6823871255.

The spelling of 2425994844 in words is "two billion, four hundred twenty-five million, nine hundred ninety-four thousand, eight hundred forty-four".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 103 156 182 206 273 309 364 412 546 618 721 1092 1236 1339 1442 2163 2678 2884 4017 4326 5356 8034 8652 9373 16068 18746 21569 28119 37492 43138 56238 64707 86276 112476 129414 150983 258828 280397 301966 452949 560794 603932 841191 905898 1121588 1682382 1811796 1962779 2221607 3364764 3925558 4443214 5888337 6664821 7851116 8886428 11776674 13329642 15551249 23553348 26659284 28880891 31102498 46653747 57761782 62204996 86642673 93307494 115523564 173285346 186614988 202166237 346570692 404332474 606498711 808664948 1212997422 2425994844