Search a number
-
+
42335532 = 223247131191
BaseRepresentation
bin1010000101111…
…1110100101100
32221122212102200
42201133310230
541314214112
64111221500
71022563131
oct241376454
987585380
1042335532
1121996348
1212217890
138a03915
1458a0588
153ab3cdc
hex285fd2c

42335532 has 72 divisors (see below), whose sum is σ = 110702592. Its totient is φ = 13634400.

The previous prime is 42335507. The next prime is 42335533. The reversal of 42335532 is 23553324.

It is a junction number, because it is equal to n+sod(n) for n = 42335496 and 42335505.

It is not an unprimeable number, because it can be changed into a prime (42335533) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 221557 + ... + 221747.

It is an arithmetic number, because the mean of its divisors is an integer number (1537536).

Almost surely, 242335532 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 42335532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55351296).

42335532 is an abundant number, since it is smaller than the sum of its proper divisors (68367060).

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

42335532 is a wasteful number, since it uses less digits than its factorization.

42335532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 374 counting only the distinct ones).

The product of its digits is 10800, while the sum is 27.

The square root of 42335532 is about 6506.5760581123. The cubic root of 42335532 is about 348.5258597537.

Adding to 42335532 its reverse (23553324), we get a palindrome (65888856).

The spelling of 42335532 in words is "forty-two million, three hundred thirty-five thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 47 94 131 141 188 191 262 282 382 393 423 524 564 573 764 786 846 1146 1179 1572 1692 1719 2292 2358 3438 4716 6157 6876 8977 12314 17954 18471 24628 25021 26931 35908 36942 50042 53862 55413 73884 75063 80793 100084 107724 110826 150126 161586 221652 225189 300252 323172 450378 900756 1175987 2351974 3527961 4703948 7055922 10583883 14111844 21167766 42335532