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42289668 = 22331937557
BaseRepresentation
bin1010000101010…
…0101000000100
32221120112112000
42201110220010
541311232133
64110225300
71022312331
oct241245004
987515460
1042289668
1121964943
12121b5230
1389b8a95
14588b988
153aa5413
hex2854a04

42289668 has 96 divisors (see below), whose sum is σ = 118742400. Its totient is φ = 12970368.

The previous prime is 42289661. The next prime is 42289669. The reversal of 42289668 is 86698224.

It is not an unprimeable number, because it can be changed into a prime (42289661) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75646 + ... + 76202.

It is an arithmetic number, because the mean of its divisors is an integer number (1236900).

Almost surely, 242289668 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 42289668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59371200).

42289668 is an abundant number, since it is smaller than the sum of its proper divisors (76452732).

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

42289668 is a wasteful number, since it uses less digits than its factorization.

42289668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 626 (or 618 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 42289668 is about 6503.0506687246. The cubic root of 42289668 is about 348.3999563254.

The spelling of 42289668 in words is "forty-two million, two hundred eighty-nine thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 37 38 54 57 74 76 108 111 114 148 171 222 228 333 342 444 513 557 666 684 703 999 1026 1114 1332 1406 1671 1998 2052 2109 2228 2812 3342 3996 4218 5013 6327 6684 8436 10026 10583 12654 15039 18981 20052 20609 21166 25308 30078 31749 37962 41218 42332 60156 61827 63498 75924 82436 95247 123654 126996 185481 190494 247308 285741 370962 380988 391571 556443 571482 741924 783142 1112886 1142964 1174713 1566284 2225772 2349426 3524139 4698852 7048278 10572417 14096556 21144834 42289668