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42496091 = 1137193541
BaseRepresentation
bin1010001000011…
…1000001011011
32221222000200022
42202013001123
541334333331
64114501055
71024132211
oct242070133
987860608
1042496091
1121a95a40
121229478b
138a5ba21
145902cb1
153ae667b
hex288705b

42496091 has 16 divisors (see below), whose sum is σ = 47947488. Its totient is φ = 37324800.

The previous prime is 42496087. The next prime is 42496099. The reversal of 42496091 is 19069424.

It is a cyclic number.

It is not a de Polignac number, because 42496091 - 22 = 42496087 is a prime.

It is a super-3 number, since 3×424960913 (a number of 24 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (42496099) 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 15 ways as a sum of consecutive naturals, for example, 78281 + ... + 78821.

It is an arithmetic number, because the mean of its divisors is an integer number (2996718).

Almost surely, 242496091 is an apocalyptic number.

42496091 is the 3485-th centered heptagonal number.

42496091 is a deficient number, since it is larger than the sum of its proper divisors (5451397).

42496091 is a wasteful number, since it uses less digits than its factorization.

42496091 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 782.

The product of its (nonzero) digits is 15552, while the sum is 35.

The square root of 42496091 is about 6518.9025916944. The cubic root of 42496091 is about 348.9659028053.

The spelling of 42496091 in words is "forty-two million, four hundred ninety-six thousand, ninety-one".

Divisors: 1 11 37 193 407 541 2123 5951 7141 20017 78551 104413 220187 1148543 3863281 42496091