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40059972 = 22321112777
BaseRepresentation
bin1001100011010…
…0010001000100
32210101020221200
42120310101010
540223404342
63550342500
7664334631
oct230642104
983336850
1040059972
1120681717
12114baa30
1383b7c34
14546b188
1537b494c
hex2634444

40059972 has 18 divisors (see below), whose sum is σ = 101262798. Its totient is φ = 13353312.

The previous prime is 40059953. The next prime is 40059977. The reversal of 40059972 is 27995004.

It can be written as a sum of positive squares in only one way, i.e., 31203396 + 8856576 = 5586^2 + 2976^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 1112777 = 40059972 / (4 + 0 + 0 + 5 + 9 + 9 + 7 + 2).

It is not an unprimeable number, because it can be changed into a prime (40059977) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 556353 + ... + 556424.

It is an arithmetic number, because the mean of its divisors is an integer number (5625711).

Almost surely, 240059972 is an apocalyptic number.

It is an amenable number.

40059972 is an abundant number, since it is smaller than the sum of its proper divisors (61202826).

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

40059972 is a wasteful number, since it uses less digits than its factorization.

40059972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1112787 (or 1112782 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 40059972 is about 6329.2947474422. The cubic root of 40059972 is about 342.1660217832.

The spelling of 40059972 in words is "forty million, fifty-nine thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 36 1112777 2225554 3338331 4451108 6676662 10014993 13353324 20029986 40059972