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2425341024 = 253215753639
BaseRepresentation
bin1001000010001111…
…1100010001100000
320021000201002102100
42100203330101200
514431341403044
61040355250400
7114050026041
oct22043742140
96230632370
102425341024
111035050677
125782a9a00
132c861c142
141901788c8
15e2dce869
hex908fc460

2425341024 has 72 divisors (see below), whose sum is σ = 6941123280. Its totient is φ = 803282688.

The previous prime is 2425340959. The next prime is 2425341041. The reversal of 2425341024 is 4201435242.

2425341024 is a `hidden beast` number, since 24 + 2 + 534 + 102 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18397 + ... + 72035.

It is an arithmetic number, because the mean of its divisors is an integer number (96404490).

Almost surely, 22425341024 is an apocalyptic number.

2425341024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2425341024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3470561640).

2425341024 is an abundant number, since it is smaller than the sum of its proper divisors (4515782256).

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

2425341024 is a wasteful number, since it uses less digits than its factorization.

2425341024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53812 (or 53801 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 2425341024 is about 49247.7514613612. The cubic root of 2425341024 is about 1343.5616661554.

Adding to 2425341024 its reverse (4201435242), we get a palindrome (6626776266).

The spelling of 2425341024 in words is "two billion, four hundred twenty-five million, three hundred forty-one thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 157 288 314 471 628 942 1256 1413 1884 2512 2826 3768 5024 5652 7536 11304 15072 22608 45216 53639 107278 160917 214556 321834 429112 482751 643668 858224 965502 1287336 1716448 1931004 2574672 3862008 5149344 7724016 8421323 15448032 16842646 25263969 33685292 50527938 67370584 75791907 101055876 134741168 151583814 202111752 269482336 303167628 404223504 606335256 808447008 1212670512 2425341024