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2426428041 = 31959799133
BaseRepresentation
bin1001000010100000…
…0101101010001001
320021002202022112020
42100220011222021
514432131144131
61040434435053
7114062204142
oct22050055211
96232668466
102426428041
111035723334
12578732a89
132c890cb4b
1419037cac9
15e3046996
hex90a05a89

2426428041 has 32 divisors (see below), whose sum is σ = 3507456000. Its totient is φ = 1487274048.

The previous prime is 2426428031. The next prime is 2426428111. The reversal of 2426428041 is 1408246242.

It is not a de Polignac number, because 2426428041 - 26 = 2426427977 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2426427993 and 2426428011.

It is not an unprimeable number, because it can be changed into a prime (2426428021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 261111 + ... + 270243.

It is an arithmetic number, because the mean of its divisors is an integer number (109608000).

Almost surely, 22426428041 is an apocalyptic number.

It is an amenable number.

2426428041 is a deficient number, since it is larger than the sum of its proper divisors (1081027959).

2426428041 is a wasteful number, since it uses less digits than its factorization.

2426428041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9293.

The product of its (nonzero) digits is 24576, while the sum is 33.

The square root of 2426428041 is about 49258.7864345032. The cubic root of 2426428041 is about 1343.7623604387.

The spelling of 2426428041 in words is "two billion, four hundred twenty-six million, four hundred twenty-eight thousand, forty-one".

Divisors: 1 3 19 57 59 79 177 237 1121 1501 3363 4503 4661 9133 13983 27399 88559 173527 265677 520581 538847 721507 1616541 2164521 10238093 13708633 30714279 41125899 42568913 127706739 808809347 2426428041