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42447330 = 232519103241
BaseRepresentation
bin1010000111101…
…1000111100010
32221212112210100
42201323013202
541331303310
64113443230
71023540102
oct241730742
987775710
1042447330
1121a62342
1212270516
138a42783
1458cd202
153ad6ec0
hex287b1e2

42447330 has 96 divisors (see below), whose sum is σ = 117786240. Its totient is φ = 10575360.

The previous prime is 42447323. The next prime is 42447331. The reversal of 42447330 is 3374424.

42447330 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 42447294 and 42447303.

It is not an unprimeable number, because it can be changed into a prime (42447331) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 176010 + ... + 176250.

It is an arithmetic number, because the mean of its divisors is an integer number (1226940).

Almost surely, 242447330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42447330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58893120).

42447330 is an abundant number, since it is smaller than the sum of its proper divisors (75338910).

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

42447330 is a wasteful number, since it uses less digits than its factorization.

42447330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 27.

The square root of 42447330 is about 6515.1615482657. The cubic root of 42447330 is about 348.8323812014.

The spelling of 42447330 in words is "forty-two million, four hundred forty-seven thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 38 45 57 90 95 103 114 171 190 206 241 285 309 342 482 515 570 618 723 855 927 1030 1205 1446 1545 1710 1854 1957 2169 2410 3090 3615 3914 4338 4579 4635 5871 7230 9158 9270 9785 10845 11742 13737 17613 19570 21690 22895 24823 27474 29355 35226 41211 45790 49646 58710 68685 74469 82422 88065 124115 137370 148938 176130 206055 223407 248230 372345 412110 446814 471637 744690 943274 1117035 1414911 2234070 2358185 2829822 4244733 4716370 7074555 8489466 14149110 21223665 42447330