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41242392 = 2333414657
BaseRepresentation
bin1001110101010…
…0111100011000
32212121022221000
42131110330120
541024224032
64031545000
71010361132
oct235247430
985538830
1041242392
112130a024
121198b160
1387101a9
145698052
153949e7c
hex2754f18

41242392 has 64 divisors (see below), whose sum is σ = 117381600. Its totient is φ = 13409280.

The previous prime is 41242373. The next prime is 41242429. The reversal of 41242392 is 29324214.

41242392 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6528 + ... + 11184.

Almost surely, 241242392 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 41242392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58690800).

41242392 is an abundant number, since it is smaller than the sum of its proper divisors (76139208).

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

41242392 is a wasteful number, since it uses less digits than its factorization.

41242392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4713 (or 4703 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 41242392 is about 6422.0239800237. The cubic root of 41242392 is about 345.4999179723.

The spelling of 41242392 in words is "forty-one million, two hundred forty-two thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 41 54 72 82 108 123 164 216 246 328 369 492 738 984 1107 1476 2214 2952 4428 4657 8856 9314 13971 18628 27942 37256 41913 55884 83826 111768 125739 167652 190937 251478 335304 381874 502956 572811 763748 1005912 1145622 1527496 1718433 2291244 3436866 4582488 5155299 6873732 10310598 13747464 20621196 41242392