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40542008 = 23131723997
BaseRepresentation
bin1001101010100…
…1111100111000
32211021202011212
42122221330320
540334321013
64004542252
71001413163
oct232517470
984252155
1040542008
11209808a1
12116b1988
138526470
145554ada
15385c6a8
hex26a9f38

40542008 has 64 divisors (see below), whose sum is σ = 90538560. Its totient is φ = 16828416.

The previous prime is 40542001. The next prime is 40542041. The reversal of 40542008 is 80024504.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40542001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40166 + ... + 41162.

It is an arithmetic number, because the mean of its divisors is an integer number (1414665).

Almost surely, 240542008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40542008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45269280).

40542008 is an abundant number, since it is smaller than the sum of its proper divisors (49996552).

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

40542008 is a wasteful number, since it uses less digits than its factorization.

40542008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1056 (or 1052 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 23.

The square root of 40542008 is about 6367.2606354695. The cubic root of 40542008 is about 343.5329654563.

The spelling of 40542008 in words is "forty million, five hundred forty-two thousand, eight".

Divisors: 1 2 4 8 13 17 23 26 34 46 52 68 92 104 136 184 221 299 391 442 598 782 884 997 1196 1564 1768 1994 2392 3128 3988 5083 7976 10166 12961 16949 20332 22931 25922 33898 40664 45862 51844 67796 91724 103688 135592 183448 220337 298103 389827 440674 596206 779654 881348 1192412 1559308 1762696 2384824 3118616 5067751 10135502 20271004 40542008