Search a number
-
+
42570648 = 2332591259
BaseRepresentation
bin1010001001100…
…1001110011000
32222002210221200
42202121032120
541344230043
64120234200
71024562451
oct242311630
988083850
1042570648
1122036a5a
121230b960
138a86943
145922128
153b0d7d3
hex2899398

42570648 has 24 divisors (see below), whose sum is σ = 115295700. Its totient is φ = 14190192.

The previous prime is 42570643. The next prime is 42570667. The reversal of 42570648 is 84607524.

42570648 is a `hidden beast` number, since 4 + 2 + 5 + 7 + 0 + 648 = 666.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×425706482 = 3624520142279808, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (42570643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 295558 + ... + 295701.

Almost surely, 242570648 is an apocalyptic number.

It is an amenable number.

42570648 is an abundant number, since it is smaller than the sum of its proper divisors (72725052).

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

42570648 is a wasteful number, since it uses less digits than its factorization.

42570648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 591271 (or 591264 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 42570648 is about 6524.6186095434. The cubic root of 42570648 is about 349.1698639180.

The spelling of 42570648 in words is "forty-two million, five hundred seventy thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 591259 1182518 1773777 2365036 3547554 4730072 5321331 7095108 10642662 14190216 21285324 42570648