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42235668 = 2234612137
BaseRepresentation
bin1010000100011…
…1011100010100
32221110210110000
42201013130110
541303020133
64105131300
71021666026
oct241073424
987423400
1042235668
1121928312
1212189b30
13899a327
145876016
153a94413
hex2847714

42235668 has 60 divisors (see below), whose sum is σ = 112274932. Its totient is φ = 13841280.

The previous prime is 42235663. The next prime is 42235679. The reversal of 42235668 is 86653224.

It can be written as a sum of positive squares in 2 ways, for example, as 1633284 + 40602384 = 1278^2 + 6372^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42235663) 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 19 ways as a sum of consecutive naturals, for example, 18696 + ... + 20832.

Almost surely, 242235668 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 42235668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56137466).

42235668 is an abundant number, since it is smaller than the sum of its proper divisors (70039264).

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

42235668 is a wasteful number, since it uses less digits than its factorization.

42235668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2214 (or 2203 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 42235668 is about 6498.8974449517. The cubic root of 42235668 is about 348.2516016408.

The spelling of 42235668 in words is "forty-two million, two hundred thirty-five thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 61 81 108 122 162 183 244 324 366 549 732 1098 1647 2137 2196 3294 4274 4941 6411 6588 8548 9882 12822 19233 19764 25644 38466 57699 76932 115398 130357 173097 230796 260714 346194 391071 521428 692388 782142 1173213 1564284 2346426 3519639 4692852 7039278 10558917 14078556 21117834 42235668