Search a number
-
+
42258564 = 2233391283
BaseRepresentation
bin1010000100110…
…1000010000100
32221111221212000
42201031002010
541304233224
64105425300
71022122545
oct241150204
987457760
1042258564
1121943537
121219b230
1389a788a
1458804cc
153a9b0c9
hex284d084

42258564 has 24 divisors (see below), whose sum is σ = 109559520. Its totient is φ = 14086152.

The previous prime is 42258563. The next prime is 42258571. The reversal of 42258564 is 46585224.

It is a happy number.

42258564 is a `hidden beast` number, since 42 + 2 + 58 + 564 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (42258563) 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, 195534 + ... + 195749.

It is an arithmetic number, because the mean of its divisors is an integer number (4564980).

Almost surely, 242258564 is an apocalyptic number.

It is an amenable number.

42258564 is an abundant number, since it is smaller than the sum of its proper divisors (67300956).

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

42258564 is a wasteful number, since it uses less digits than its factorization.

42258564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391296 (or 391288 counting only the distinct ones).

The product of its digits is 76800, while the sum is 36.

The square root of 42258564 is about 6500.6587358513. The cubic root of 42258564 is about 348.3145194593.

The spelling of 42258564 in words is "forty-two million, two hundred fifty-eight thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 391283 782566 1173849 1565132 2347698 3521547 4695396 7043094 10564641 14086188 21129282 42258564