Search a number
-
+
42973168 = 247438923
BaseRepresentation
bin1010001111101…
…1011111110000
32222212021002211
42203323133300
542000120133
64133021504
71031160130
oct243733760
988767084
1042973168
1122291417
1212484894
138b97c14
1459c8ac0
153b8cbcd
hex28fb7f0

42973168 has 40 divisors (see below), whose sum is σ = 97378688. Its totient is φ = 17986752.

The previous prime is 42973163. The next prime is 42973171. The reversal of 42973168 is 86137924.

It is a self number, because there is not a number n which added to its sum of digits gives 42973168.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42973163) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 355 + ... + 9277.

Almost surely, 242973168 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 42973168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48689344).

42973168 is an abundant number, since it is smaller than the sum of its proper divisors (54405520).

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

42973168 is a wasteful number, since it uses less digits than its factorization.

42973168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8981 (or 8975 counting only the distinct ones).

The product of its digits is 72576, while the sum is 40.

The square root of 42973168 is about 6555.3922842192. The cubic root of 42973168 is about 350.2669201967.

The spelling of 42973168 in words is "forty-two million, nine hundred seventy-three thousand, one hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 43 56 86 112 172 301 344 602 688 1204 2408 4816 8923 17846 35692 62461 71384 124922 142768 249844 383689 499688 767378 999376 1534756 2685823 3069512 5371646 6139024 10743292 21486584 42973168