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42393096 = 23321813253
BaseRepresentation
bin1010000110110…
…1111000001000
32221202210101200
42201231320020
541323034341
64112344200
71023223014
oct241557010
987683350
1042393096
1121a25619
1212245060
138a23b95
1458b7544
153ac5db6
hex286de08

42393096 has 48 divisors (see below), whose sum is σ = 115484460. Its totient is φ = 14048640.

The previous prime is 42393077. The next prime is 42393097. The reversal of 42393096 is 69039324.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 42380100 + 12996 = 6510^2 + 114^2 .

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 42393096.

It is not an unprimeable number, because it can be changed into a prime (42393097) 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 11 ways as a sum of consecutive naturals, for example, 11406 + ... + 14658.

Almost surely, 242393096 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 42393096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57742230).

42393096 is an abundant number, since it is smaller than the sum of its proper divisors (73091364).

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

42393096 is a wasteful number, since it uses less digits than its factorization.

42393096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3446 (or 3439 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The square root of 42393096 is about 6510.9980801717. The cubic root of 42393096 is about 348.6837527846.

The spelling of 42393096 in words is "forty-two million, three hundred ninety-three thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 181 362 543 724 1086 1448 1629 2172 3253 3258 4344 6506 6516 9759 13012 13032 19518 26024 29277 39036 58554 78072 117108 234216 588793 1177586 1766379 2355172 3532758 4710344 5299137 7065516 10598274 14131032 21196548 42393096