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40023024 = 2434319391
BaseRepresentation
bin1001100010101…
…1001111110000
32210022101021020
42120223033300
540221214044
63545455440
7664122126
oct230531760
983271236
1040023024
1120656988
12114a1580
1383a4182
14545b916
1537a8a19
hex262b3f0

40023024 has 40 divisors (see below), whose sum is σ = 105802752. Its totient is φ = 13030080.

The previous prime is 40023007. The next prime is 40023041. The reversal of 40023024 is 42032004.

It is a happy number.

40023024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (40023007) and next prime (40023041).

It is a junction number, because it is equal to n+sod(n) for n = 40022994 and 40023012.

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, 7632 + ... + 11759.

Almost surely, 240023024 is an apocalyptic number.

It is an amenable number.

40023024 is an abundant number, since it is smaller than the sum of its proper divisors (65779728).

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

40023024 is a wasteful number, since it uses less digits than its factorization.

40023024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19445 (or 19439 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 40023024 is about 6326.3752655055. The cubic root of 40023024 is about 342.0607942266.

Adding to 40023024 its reverse (42032004), we get a palindrome (82055028).

The spelling of 40023024 in words is "forty million, twenty-three thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 43 48 86 129 172 258 344 516 688 1032 2064 19391 38782 58173 77564 116346 155128 232692 310256 465384 833813 930768 1667626 2501439 3335252 5002878 6670504 10005756 13341008 20011512 40023024