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40675800 = 23352116163
BaseRepresentation
bin1001101100101…
…0100111011000
32211112112201010
42123022213120
540403111200
64011453520
71002511224
oct233124730
984475633
1040675800
1120a62370
12117572a0
138572329
14558b784
153887150
hex26ca9d8

40675800 has 96 divisors (see below), whose sum is σ = 137580480. Its totient is φ = 9859200.

The previous prime is 40675793. The next prime is 40675801. The reversal of 40675800 is 857604.

It is a happy number.

40675800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40675801) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 3519 + ... + 9681.

It is an arithmetic number, because the mean of its divisors is an integer number (1433130).

Almost surely, 240675800 is an apocalyptic number.

40675800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40675800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68790240).

40675800 is an abundant number, since it is smaller than the sum of its proper divisors (96904680).

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

40675800 is a wasteful number, since it uses less digits than its factorization.

40675800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6193 (or 6184 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 40675800 is about 6377.7582268380. The cubic root of 40675800 is about 343.9104463117.

The spelling of 40675800 in words is "forty million, six hundred seventy-five thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 75 88 100 110 120 132 150 165 200 220 264 275 300 330 440 550 600 660 825 1100 1320 1650 2200 3300 6163 6600 12326 18489 24652 30815 36978 49304 61630 67793 73956 92445 123260 135586 147912 154075 184890 203379 246520 271172 308150 338965 369780 406758 462225 542344 616300 677930 739560 813516 924450 1016895 1232600 1355860 1627032 1694825 1848900 2033790 2711720 3389650 3697800 4067580 5084475 6779300 8135160 10168950 13558600 20337900 40675800