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42240762 = 23219294259
BaseRepresentation
bin1010000100100…
…0101011111010
32221111001102200
42201020223322
541303201022
64105211030
71022016624
oct241105372
987431380
1042240762
1121931123
1212190a76
13899c745
145877c14
153a95bac
hex2848afa

42240762 has 48 divisors (see below), whose sum is σ = 99684000. Its totient is φ = 12876192.

The previous prime is 42240761. The next prime is 42240769. The reversal of 42240762 is 26704224.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42240761) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7789 + ... + 12047.

It is an arithmetic number, because the mean of its divisors is an integer number (2076750).

Almost surely, 242240762 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42240762, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49842000).

42240762 is an abundant number, since it is smaller than the sum of its proper divisors (57443238).

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

42240762 is a wasteful number, since it uses less digits than its factorization.

42240762 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4315 (or 4312 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 42240762 is about 6499.2893457670. The cubic root of 42240762 is about 348.2656018325.

Adding to 42240762 its reverse (26704224), we get a palindrome (68944986).

The spelling of 42240762 in words is "forty-two million, two hundred forty thousand, seven hundred sixty-two".

Divisors: 1 2 3 6 9 18 19 29 38 57 58 87 114 171 174 261 342 522 551 1102 1653 3306 4259 4959 8518 9918 12777 25554 38331 76662 80921 123511 161842 242763 247022 370533 485526 728289 741066 1111599 1456578 2223198 2346709 4693418 7040127 14080254 21120381 42240762