Search a number
-
+
42331564 = 22111723329
BaseRepresentation
bin1010000101111…
…0110110101100
32221122122222201
42201132312230
541314102224
64111151244
71022545432
oct241366654
987578881
1042331564
1121993370
1212215524
138a01b82
14589cd52
153ab2a44
hex285edac

42331564 has 36 divisors (see below), whose sum is σ = 85874040. Its totient is φ = 18104320.

The previous prime is 42331559. The next prime is 42331579. The reversal of 42331564 is 46513324.

It is a super-2 number, since 2×423315642 = 3583922621372192, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11052 + ... + 14380.

It is an arithmetic number, because the mean of its divisors is an integer number (2385390).

Almost surely, 242331564 is an apocalyptic number.

42331564 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42331564 is an abundant number, since it is smaller than the sum of its proper divisors (43542476).

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

42331564 is a wasteful number, since it uses less digits than its factorization.

42331564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3378 (or 3359 counting only the distinct ones).

The product of its digits is 8640, while the sum is 28.

The square root of 42331564 is about 6506.2711286881. The cubic root of 42331564 is about 348.5149706042.

Adding to 42331564 its reverse (46513324), we get a palindrome (88844888).

The spelling of 42331564 in words is "forty-two million, three hundred thirty-one thousand, five hundred sixty-four".

Divisors: 1 2 4 11 17 22 34 44 68 187 289 374 578 748 1156 3179 3329 6358 6658 12716 13316 36619 56593 73238 113186 146476 226372 622523 962081 1245046 1924162 2490092 3848324 10582891 21165782 42331564