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40004040 = 2335333367
BaseRepresentation
bin1001100010011…
…0100111001000
32210021102020010
42120212213020
540220112130
63545231520
7664012566
oct230464710
983242203
1040004040
112064369a
12114925a0
13839863b
145454a36
1537a30b0
hex26269c8

40004040 has 32 divisors (see below), whose sum is σ = 120012480. Its totient is φ = 10667712.

The previous prime is 40004039. The next prime is 40004047. The reversal of 40004040 is 4040004.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

40004040 is a modest number, since divided by 4040 gives 4000 as remainder.

It is not an unprimeable number, because it can be changed into a prime (40004047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 166564 + ... + 166803.

It is an arithmetic number, because the mean of its divisors is an integer number (3750390).

Almost surely, 240004040 is an apocalyptic number.

40004040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40004040 is an abundant number, since it is smaller than the sum of its proper divisors (80008440).

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

40004040 is a wasteful number, since it uses less digits than its factorization.

40004040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333381 (or 333377 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 40004040 is about 6324.8747023162. The cubic root of 40004040 is about 342.0067027858.

Adding to 40004040 its reverse (4040004), we get a palindrome (44044044).

The spelling of 40004040 in words is "forty million, four thousand, forty", and thus it is an eban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 333367 666734 1000101 1333468 1666835 2000202 2666936 3333670 4000404 5000505 6667340 8000808 10001010 13334680 20002020 40004040