Search a number
-
+
42500016 = 24321373311
BaseRepresentation
bin1010001000011…
…1111110110000
32221222020001200
42202013332300
541340000031
64114531200
71024146516
oct242077660
987866050
1042500016
1121a98989
1212296b00
138a60750
1459044b6
153ae78e6
hex2887fb0

42500016 has 120 divisors (see below), whose sum is σ = 130262496. Its totient is φ = 12856320.

The previous prime is 42499999. The next prime is 42500023. The reversal of 42500016 is 61000524.

It is a happy number.

42500016 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 (18).

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 23 ways as a sum of consecutive naturals, for example, 136501 + ... + 136811.

Almost surely, 242500016 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 42500016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65131248).

42500016 is an abundant number, since it is smaller than the sum of its proper divisors (87762480).

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

42500016 is a wasteful number, since it uses less digits than its factorization.

42500016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 42500016 is about 6519.2036323465. The cubic root of 42500016 is about 348.9766461386.

The spelling of 42500016 in words is "forty-two million, five hundred thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 73 78 104 117 144 146 156 208 219 234 292 311 312 438 468 584 622 624 657 876 933 936 949 1168 1244 1314 1752 1866 1872 1898 2488 2628 2799 2847 3504 3732 3796 4043 4976 5256 5598 5694 7464 7592 8086 8541 10512 11196 11388 12129 14928 15184 16172 17082 22392 22703 22776 24258 32344 34164 36387 44784 45406 45552 48516 64688 68109 68328 72774 90812 97032 136218 136656 145548 181624 194064 204327 272436 291096 295139 363248 408654 544872 582192 590278 817308 885417 1089744 1180556 1634616 1770834 2361112 2656251 3269232 3541668 4722224 5312502 7083336 10625004 14166672 21250008 42500016