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42347961 = 333135011
BaseRepresentation
bin1010000110001…
…0110110111001
32221200111111000
42201202312321
541320113321
64111355213
71022644305
oct241426671
987614430
1042347961
11219a4717
1212222b09
138a09486
1458a4d05
153ab7826
hex2862db9

42347961 has 16 divisors (see below), whose sum is σ = 62950720. Its totient is φ = 28136160.

The previous prime is 42347959. The next prime is 42347971. The reversal of 42347961 is 16974324.

42347961 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 42347961 - 21 = 42347959 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (42347951) 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 15 ways as a sum of consecutive naturals, for example, 5946 + ... + 10956.

It is an arithmetic number, because the mean of its divisors is an integer number (3934420).

Almost surely, 242347961 is an apocalyptic number.

It is an amenable number.

42347961 is a deficient number, since it is larger than the sum of its proper divisors (20602759).

42347961 is a wasteful number, since it uses less digits than its factorization.

42347961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5333 (or 5327 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 42347961 is about 6507.5310986579. The cubic root of 42347961 is about 348.5599635263.

It can be divided in two parts, 423 and 47961, that added together give a palindrome (48384).

The spelling of 42347961 in words is "forty-two million, three hundred forty-seven thousand, nine hundred sixty-one".

Divisors: 1 3 9 27 313 939 2817 5011 8451 15033 45099 135297 1568443 4705329 14115987 42347961