Search a number
-
+
40052718 = 2379157
BaseRepresentation
bin1001100011001…
…0011111101110
32210100220000000
42120302133232
540223141333
63550245130
7664304526
oct230623756
983326000
1040052718
1120677222
12114b67a6
1383b4844
145468686
1537b2713
hex26327ee

40052718 has 32 divisors (see below), whose sum is σ = 90114720. Its totient is φ = 13349448.

The previous prime is 40052717. The next prime is 40052723. The reversal of 40052718 is 81725004.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 40052691 and 40052700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40052717) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 205 + ... + 8952.

It is an arithmetic number, because the mean of its divisors is an integer number (2816085).

Almost surely, 240052718 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40052718, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45057360).

40052718 is an abundant number, since it is smaller than the sum of its proper divisors (50062002).

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

40052718 is an frugal number, since it uses more digits than its factorization.

40052718 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9180 (or 9162 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 40052718 is about 6328.7216718702. The cubic root of 40052718 is about 342.1453675654.

The spelling of 40052718 in words is "forty million, fifty-two thousand, seven hundred eighteen".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 486 729 1458 2187 4374 9157 18314 27471 54942 82413 164826 247239 494478 741717 1483434 2225151 4450302 6675453 13350906 20026359 40052718