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42659136 = 263513211
BaseRepresentation
bin1010001010111…
…0110101000000
32222021022100000
42202232311000
541410043021
64122200000
71025411442
oct242566500
988238300
1042659136
1122097493
1212353000
138ab7cc0
145946492
153b29b26
hex28aed40

42659136 has 168 divisors, whose sum is σ = 137204704. Its totient is φ = 13063680.

The previous prime is 42659129. The next prime is 42659153. The reversal of 42659136 is 63195624.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 42659136.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 202071 + ... + 202281.

Almost surely, 242659136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42659136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68602352).

42659136 is an abundant number, since it is smaller than the sum of its proper divisors (94545568).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42659136 is a wasteful number, since it uses less digits than its factorization.

42659136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 229 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 42659136 is about 6531.3961753977. The cubic root of 42659136 is about 349.4116264246.

The spelling of 42659136 in words is "forty-two million, six hundred fifty-nine thousand, one hundred thirty-six".