Search a number
-
+
40232538 = 235194357
BaseRepresentation
bin1001100101111…
…0011001011010
32210201000200000
42121132121122
540244420123
63554153430
7665654013
oct231363132
983630600
1040232538
112078a335
1211582876
138448648
1454b400a
1537eab43
hex265e65a

40232538 has 48 divisors (see below), whose sum is σ = 95178720. Its totient is φ = 12702096.

The previous prime is 40232537. The next prime is 40232551. The reversal of 40232538 is 83523204.

40232538 is a `hidden beast` number, since 402 + 3 + 253 + 8 = 666.

40232538 is nontrivially palindromic in base 8.

It is a super-2 number, since 2×402325382 = 3237314227842888, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (40232537) 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, 7056 + ... + 11412.

It is an arithmetic number, because the mean of its divisors is an integer number (1982890).

Almost surely, 240232538 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40232538, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47589360).

40232538 is an abundant number, since it is smaller than the sum of its proper divisors (54946182).

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

40232538 is a wasteful number, since it uses less digits than its factorization.

40232538 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4393 (or 4381 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 40232538 is about 6342.9124225390. The cubic root of 40232538 is about 342.6566332073.

It can be divided in two parts, 4023 and 2538, that added together give a 8-th power (6561 = 38).

The spelling of 40232538 in words is "forty million, two hundred thirty-two thousand, five hundred thirty-eight".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 81 114 162 171 243 342 486 513 1026 1539 3078 4357 4617 8714 9234 13071 26142 39213 78426 82783 117639 165566 235278 248349 352917 496698 705834 745047 1058751 1490094 2117502 2235141 4470282 6705423 13410846 20116269 40232538