Search a number
-
+
42673248 = 2532148171
BaseRepresentation
bin1010001011001…
…0010001100000
32222022000200200
42202302101200
541411020443
64122345200
71025500542
oct242622140
988260620
1042673248
11220a7052
121235b200
138ac1557
14594b692
153b2ddd3
hex28b2460

42673248 has 36 divisors (see below), whose sum is σ = 121352868. Its totient is φ = 14224320.

The previous prime is 42673231. The next prime is 42673249. The reversal of 42673248 is 84237624.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42673249) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 73798 + ... + 74373.

It is an arithmetic number, because the mean of its divisors is an integer number (3370913).

Almost surely, 242673248 is an apocalyptic number.

42673248 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

42673248 is an abundant number, since it is smaller than the sum of its proper divisors (78679620).

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

42673248 is a wasteful number, since it uses less digits than its factorization.

42673248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148187 (or 148176 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The square root of 42673248 is about 6532.4764063868. The cubic root of 42673248 is about 349.4501516090.

The spelling of 42673248 in words is "forty-two million, six hundred seventy-three thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 148171 296342 444513 592684 889026 1185368 1333539 1778052 2370736 2667078 3556104 4741472 5334156 7112208 10668312 14224416 21336624 42673248