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2440637325 = 375272911
BaseRepresentation
bin1001000101111001…
…0010101110001101
320022002111020000000
42101132102232031
514444300343300
61042103154513
7114324034500
oct22136225615
96262436000
102440637325
111042748a45
12581445a39
132cb8465c9
141921db137
15e4401c00
hex91792b8d

2440637325 has 144 divisors (see below), whose sum is σ = 5285733120. Its totient is φ = 1114495200.

The previous prime is 2440637321. The next prime is 2440637357. The reversal of 2440637325 is 5237360442.

2440637325 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2440637325 - 22 = 2440637321 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2440637325.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2440637321) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2678620 + ... + 2679530.

It is an arithmetic number, because the mean of its divisors is an integer number (36706480).

Almost surely, 22440637325 is an apocalyptic number.

2440637325 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2440637325 is an abundant number, since it is smaller than the sum of its proper divisors (2845095795).

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

2440637325 is an frugal number, since it uses more digits than its factorization.

2440637325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 956 (or 926 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

The square root of 2440637325 is about 49402.8068534572. The cubic root of 2440637325 is about 1346.3803033379.

Adding to 2440637325 its reverse (5237360442), we get a palindrome (7677997767).

The spelling of 2440637325 in words is "two billion, four hundred forty million, six hundred thirty-seven thousand, three hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 27 35 45 49 63 75 81 105 135 147 175 189 225 243 245 315 405 441 525 567 675 729 735 911 945 1215 1225 1323 1575 1701 2025 2187 2205 2733 2835 3645 3675 3969 4555 4725 5103 6075 6377 6615 8199 8505 10935 11025 11907 13665 14175 15309 18225 19131 19845 22775 24597 25515 31885 33075 35721 40995 42525 44639 54675 57393 59535 68325 73791 76545 95655 99225 107163 122985 127575 133917 159425 172179 178605 204975 221373 223195 286965 297675 368955 382725 401751 478275 516537 535815 614925 664119 669585 860895 893025 1106865 1115975 1205253 1434825 1549611 1844775 1992357 2008755 2582685 2679075 3320595 3347925 3615759 4304475 4648833 5534325 6026265 7748055 9961785 10043775 10847277 12913425 13946499 16602975 18078795 23244165 30131325 32541831 38740275 49808925 54236385 69732495 90393975 97625493 116220825 162709155 271181925 348662475 488127465 813545775 2440637325