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42164441 = 114193491
BaseRepresentation
bin1010000011011…
…0000011011001
32221100011201222
42200312003121
541243230231
64103421425
71021251254
oct240660331
987304658
1042164441
1121889850
1212154875
138973a97
14585809b
153a7d27b
hex28360d9

42164441 has 8 divisors (see below), whose sum is σ = 47119968. Its totient is φ = 37396000.

The previous prime is 42164431. The next prime is 42164483. The reversal of 42164441 is 14446124.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 42164441 - 26 = 42164377 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 42164441.

It is not an unprimeable number, because it can be changed into a prime (42164411) 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 7 ways as a sum of consecutive naturals, for example, 46295 + ... + 47196.

It is an arithmetic number, because the mean of its divisors is an integer number (5889996).

Almost surely, 242164441 is an apocalyptic number.

42164441 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

42164441 is a deficient number, since it is larger than the sum of its proper divisors (4955527).

42164441 is a wasteful number, since it uses less digits than its factorization.

42164441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93543.

The product of its digits is 3072, while the sum is 26.

The square root of 42164441 is about 6493.4152031115. The cubic root of 42164441 is about 348.0557255413.

The spelling of 42164441 in words is "forty-two million, one hundred sixty-four thousand, four hundred forty-one".

Divisors: 1 11 41 451 93491 1028401 3833131 42164441