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2426132032 = 26374124989
BaseRepresentation
bin1001000010011011…
…1101011001000000
320021002012021110221
42100212331121000
514432042211112
61040424232424
7114056532142
oct22046753100
96232167427
102426132032
1110355409a5
1257860b714
132c88381ac
14190302c92
15e2ed8e07
hex909bd640

2426132032 has 56 divisors (see below), whose sum is σ = 5065273080. Its totient is φ = 1151447040.

The previous prime is 2426132011. The next prime is 2426132053. The reversal of 2426132032 is 2302316242.

It is an interprime number because it is at equal distance from previous prime (2426132011) and next prime (2426132053).

It can be written as a sum of positive squares in 4 ways, for example, as 1005143616 + 1420988416 = 31704^2 + 37696^2 .

It is a super-2 number, since 2×24261320322 = 11772233273392898048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2426131988 and 2426132006.

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 7 ways as a sum of consecutive naturals, for example, 84594 + ... + 109582.

It is an arithmetic number, because the mean of its divisors is an integer number (90451305).

Almost surely, 22426132032 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 2426132032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2532636540).

2426132032 is an abundant number, since it is smaller than the sum of its proper divisors (2639141048).

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

2426132032 is a wasteful number, since it uses less digits than its factorization.

2426132032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25079 (or 25069 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

The square root of 2426132032 is about 49255.7817113890. The cubic root of 2426132032 is about 1343.7077146903.

Adding to 2426132032 its reverse (2302316242), we get a palindrome (4728448274).

The spelling of 2426132032 in words is "two billion, four hundred twenty-six million, one hundred thirty-two thousand, thirty-two".

Divisors: 1 2 4 8 16 32 37 41 64 74 82 148 164 296 328 592 656 1184 1312 1517 2368 2624 3034 6068 12136 24272 24989 48544 49978 97088 99956 199912 399824 799648 924593 1024549 1599296 1849186 2049098 3698372 4098196 7396744 8196392 14793488 16392784 29586976 32785568 37908313 59173952 65571136 75816626 151633252 303266504 606533008 1213066016 2426132032