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41628342 = 2372178329
BaseRepresentation
bin1001111011001…
…1001010110110
32220022221100110
42132303022312
541124101332
64044123450
71013556300
oct236631266
986287313
1041628342
1121552a98
1211b36586
138816a72
145758970
1539c44cc
hex27b32b6

41628342 has 48 divisors (see below), whose sum is σ = 102558960. Its totient is φ = 11192832.

The previous prime is 41628331. The next prime is 41628347. The reversal of 41628342 is 24382614.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41628347) 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, 834 + ... + 9162.

It is an arithmetic number, because the mean of its divisors is an integer number (2136645).

Almost surely, 241628342 is an apocalyptic number.

41628342 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 41628342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51279480).

41628342 is an abundant number, since it is smaller than the sum of its proper divisors (60930618).

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

41628342 is a wasteful number, since it uses less digits than its factorization.

41628342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8365 (or 8358 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

The square root of 41628342 is about 6452.0029448226. The cubic root of 41628342 is about 346.5743132111.

Subtracting from 41628342 its product of digits (9216), we obtain a triangular number (41619126 = T9123).

The spelling of 41628342 in words is "forty-one million, six hundred twenty-eight thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 14 17 21 34 42 49 51 98 102 119 147 238 294 357 714 833 1666 2499 4998 8329 16658 24987 49974 58303 116606 141593 174909 283186 349818 408121 424779 816242 849558 991151 1224363 1982302 2448726 2973453 5946906 6938057 13876114 20814171 41628342