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40065444 = 22323892861
BaseRepresentation
bin1001100011010…
…1100110100100
32210101112110100
42120311212210
540224043234
63550424100
7664356606
oct230654644
983345410
1040065444
1120685841
1211502030
1383ba583
14546d176
1537b6399
hex26359a4

40065444 has 36 divisors (see below), whose sum is σ = 101572380. Its totient is φ = 13316160.

The previous prime is 40065439. The next prime is 40065491. The reversal of 40065444 is 44456004.

40065444 is a `hidden beast` number, since 4 + 0 + 0 + 654 + 4 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 15681600 + 24383844 = 3960^2 + 4938^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12574 + ... + 15434.

It is an arithmetic number, because the mean of its divisors is an integer number (2821455).

Almost surely, 240065444 is an apocalyptic number.

It is an amenable number.

40065444 is an abundant number, since it is smaller than the sum of its proper divisors (61506936).

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

40065444 is a wasteful number, since it uses less digits than its factorization.

40065444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3260 (or 3255 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 40065444 is about 6329.7270083314. The cubic root of 40065444 is about 342.1816004863.

The spelling of 40065444 in words is "forty million, sixty-five thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 389 778 1167 1556 2334 2861 3501 4668 5722 7002 8583 11444 14004 17166 25749 34332 51498 102996 1112929 2225858 3338787 4451716 6677574 10016361 13355148 20032722 40065444