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40938570 = 23251972309
BaseRepresentation
bin1001110000101…
…0110001001010
32212000220011100
42130022301022
540440013240
64021242230
71004654301
oct234126112
985026140
1040938570
1121121832
1211863376
138634b0a
145619438
1538d9e30
hex270ac4a

40938570 has 48 divisors (see below), whose sum is σ = 107026920. Its totient is φ = 10856832.

The previous prime is 40938523. The next prime is 40938571. The reversal of 40938570 is 7583904.

It can be written as a sum of positive squares in 4 ways, for example, as 40870449 + 68121 = 6393^2 + 261^2 .

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (40938571) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16576 + ... + 18884.

Almost surely, 240938570 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40938570, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53513460).

40938570 is an abundant number, since it is smaller than the sum of its proper divisors (66088350).

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

40938570 is a wasteful number, since it uses less digits than its factorization.

40938570 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2519 (or 2516 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 40938570 is about 6398.3255622077. The cubic root of 40938570 is about 344.6494233353.

The spelling of 40938570 in words is "forty million, nine hundred thirty-eight thousand, five hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 197 394 591 985 1182 1773 1970 2309 2955 3546 4618 5910 6927 8865 11545 13854 17730 20781 23090 34635 41562 69270 103905 207810 454873 909746 1364619 2274365 2729238 4093857 4548730 6823095 8187714 13646190 20469285 40938570