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2426753253 = 323318313669
BaseRepresentation
bin1001000010100101…
…0101000011100101
320021010100211122010
42100221111003211
514432222101003
61040445424433
7114065030241
oct22051250345
96233324563
102426753253
111035925701
1257886b119
132c89c4b92
14190425421
15e30ad003
hex90a550e5

2426753253 has 32 divisors (see below), whose sum is σ = 3527516160. Its totient is φ = 1479424320.

The previous prime is 2426753237. The next prime is 2426753269. The reversal of 2426753253 is 3523576242.

It is an interprime number because it is at equal distance from previous prime (2426753237) and next prime (2426753269).

It is not a de Polignac number, because 2426753253 - 24 = 2426753237 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2426753353) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 170703 + ... + 184371.

It is an arithmetic number, because the mean of its divisors is an integer number (110234880).

Almost surely, 22426753253 is an apocalyptic number.

2426753253 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

2426753253 is a deficient number, since it is larger than the sum of its proper divisors (1100762907).

2426753253 is a wasteful number, since it uses less digits than its factorization.

2426753253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13809.

The product of its digits is 302400, while the sum is 39.

The square root of 2426753253 is about 49262.0873796472. The cubic root of 2426753253 is about 1343.8223921829.

The spelling of 2426753253 in words is "two billion, four hundred twenty-six million, seven hundred fifty-three thousand, two hundred fifty-three".

Divisors: 1 3 23 31 69 83 93 249 713 1909 2139 2573 5727 7719 13669 41007 59179 177537 314387 423739 943161 1134527 1271217 3403581 9745997 26094121 29237991 35170337 78282363 105511011 808917751 2426753253