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40017144 = 23310715583
BaseRepresentation
bin1001100010100…
…1110011111000
32210022002012110
42120221303320
540221022034
63545412320
7664066026
oct230516370
983262173
1040017144
1120652522
121149a0a0
1383a15ab
145459716
1537a6de9
hex2629cf8

40017144 has 32 divisors (see below), whose sum is σ = 100984320. Its totient is φ = 13213536.

The previous prime is 40017137. The next prime is 40017161. The reversal of 40017144 is 44171004.

40017144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 40017144.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5224 + ... + 10359.

It is an arithmetic number, because the mean of its divisors is an integer number (3155760).

Almost surely, 240017144 is an apocalyptic number.

It is an amenable number.

40017144 is an abundant number, since it is smaller than the sum of its proper divisors (60967176).

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

40017144 is a wasteful number, since it uses less digits than its factorization.

40017144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15699 (or 15695 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 40017144 is about 6325.9105273470. The cubic root of 40017144 is about 342.0440420693.

Adding to 40017144 its reverse (44171004), we get a palindrome (84188148).

The spelling of 40017144 in words is "forty million, seventeen thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 107 214 321 428 642 856 1284 2568 15583 31166 46749 62332 93498 124664 186996 373992 1667381 3334762 5002143 6669524 10004286 13339048 20008572 40017144