Search a number
-
+
40301874 = 2341931289
BaseRepresentation
bin1001100110111…
…1010100110010
32210211112210000
42121233110302
540304124444
63555450430
7666363114
oct231572462
983745700
1040301874
1120827438
12115b6a16
138471082
1454d13b4
153811469
hex266f532

40301874 has 40 divisors (see below), whose sum is σ = 90844380. Its totient is φ = 13353984.

The previous prime is 40301873. The next prime is 40301881. The reversal of 40301874 is 47810304.

It can be written as a sum of positive squares in 2 ways, for example, as 40259025 + 42849 = 6345^2 + 207^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40301873) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 30622 + ... + 31910.

Almost surely, 240301874 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40301874, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45422190).

40301874 is an abundant number, since it is smaller than the sum of its proper divisors (50542506).

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

40301874 is a wasteful number, since it uses less digits than its factorization.

40301874 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1496 (or 1487 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 40301874 is about 6348.3756977671. The cubic root of 40301874 is about 342.8533629048.

The spelling of 40301874 in words is "forty million, three hundred one thousand, eight hundred seventy-four".

Divisors: 1 2 3 6 9 18 27 54 81 162 193 386 579 1158 1289 1737 2578 3474 3867 5211 7734 10422 11601 15633 23202 31266 34803 69606 104409 208818 248777 497554 746331 1492662 2238993 4477986 6716979 13433958 20150937 40301874