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40785240 = 2335714787
BaseRepresentation
bin1001101110010…
…1010101011000
32211202002211110
42123211111120
540420111430
64014100320
71003445256
oct233452530
984662743
1040785240
1121027611
12117aa6a0
1385b00a2
1455b95d6
1538a97b0
hex26e5558

40785240 has 64 divisors (see below), whose sum is σ = 124104960. Its totient is φ = 10720640.

The previous prime is 40785221. The next prime is 40785263. The reversal of 40785240 is 4258704.

40785240 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 junction number, because it is equal to n+sod(n) for n = 40785198 and 40785207.

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 15 ways as a sum of consecutive naturals, for example, 6127 + ... + 10913.

It is an arithmetic number, because the mean of its divisors is an integer number (1939140).

Almost surely, 240785240 is an apocalyptic number.

40785240 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 40785240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62052480).

40785240 is an abundant number, since it is smaller than the sum of its proper divisors (83319720).

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

40785240 is a wasteful number, since it uses less digits than its factorization.

40785240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4872 (or 4868 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 30.

The square root of 40785240 is about 6386.3322807383. The cubic root of 40785240 is about 344.2186054173.

The spelling of 40785240 in words is "forty million, seven hundred eighty-five thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 71 120 142 213 284 355 426 568 710 852 1065 1420 1704 2130 2840 4260 4787 8520 9574 14361 19148 23935 28722 38296 47870 57444 71805 95740 114888 143610 191480 287220 339877 574440 679754 1019631 1359508 1699385 2039262 2719016 3398770 4078524 5098155 6797540 8157048 10196310 13595080 20392620 40785240