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40066004 = 2211282781
BaseRepresentation
bin1001100011010…
…1101111010100
32210101120020002
42120311233110
540224103004
63550430432
7664361336
oct230655724
983346202
1040066004
1120686200
1211502418
1383ba8c4
14546d456
1537b661e
hex2635bd4

40066004 has 18 divisors (see below), whose sum is σ = 77070042. Its totient is φ = 18211600.

The previous prime is 40066001. The next prime is 40066007.

40066004 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (40066001) and next prime (40066007).

It can be written as a sum of positive squares in only one way, i.e., 26728900 + 13337104 = 5170^2 + 3652^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40066001) 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, 40907 + ... + 41874.

It is an arithmetic number, because the mean of its divisors is an integer number (4281669).

Almost surely, 240066004 is an apocalyptic number.

40066004 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

40066004 is a deficient number, since it is larger than the sum of its proper divisors (37004038).

40066004 is a wasteful number, since it uses less digits than its factorization.

40066004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82807 (or 82794 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 40066004 is about 6329.7712438918. The cubic root of 40066004 is about 342.1831947180.

The spelling of 40066004 in words is "forty million, sixty-six thousand, four", and thus it is an eban number.

Divisors: 1 2 4 11 22 44 121 242 484 82781 165562 331124 910591 1821182 3642364 10016501 20033002 40066004