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42967581 = 331736329
BaseRepresentation
bin1010001111101…
…0001000011101
32222211222102220
42203322020131
541444430311
64132535553
71031134626
oct243721035
988758386
1042967581
11222881a8
12124815b9
138b95507
1459c6a4d
153b8b206
hex28fa21d

42967581 has 16 divisors (see below), whose sum is σ = 59957760. Its totient is φ = 27336960.

The previous prime is 42967559. The next prime is 42967601. The reversal of 42967581 is 18576924.

42967581 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 42967581 - 27 = 42967453 is a prime.

It is a super-2 number, since 2×429675812 = 3692426033983122, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42967501) 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, 3625 + ... + 9953.

It is an arithmetic number, because the mean of its divisors is an integer number (3747360).

Almost surely, 242967581 is an apocalyptic number.

It is an amenable number.

42967581 is a deficient number, since it is larger than the sum of its proper divisors (16990179).

42967581 is a wasteful number, since it uses less digits than its factorization.

42967581 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6436.

The product of its digits is 120960, while the sum is 42.

The square root of 42967581 is about 6554.9661326356. The cubic root of 42967581 is about 350.2517399793.

The spelling of 42967581 in words is "forty-two million, nine hundred sixty-seven thousand, five hundred eighty-one".

Divisors: 1 3 31 73 93 219 2263 6329 6789 18987 196199 462017 588597 1386051 14322527 42967581