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40258040 = 2351773811
BaseRepresentation
bin1001100110010…
…0100111111000
32210202022122112
42121210213320
540301224130
63554511452
7666121244
oct231444770
983668575
1040258040
11207a7509
1211595588
138457134
1454bd424
153803495
hex26649f8

40258040 has 64 divisors (see below), whose sum is σ = 97342560. Its totient is φ = 14929920.

The previous prime is 40258039. The next prime is 40258051. The reversal of 40258040 is 4085204.

40258040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 40257997 and 40258015.

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, 49235 + ... + 50045.

Almost surely, 240258040 is an apocalyptic number.

40258040 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 40258040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48671280).

40258040 is an abundant number, since it is smaller than the sum of its proper divisors (57084520).

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

40258040 is a wasteful number, since it uses less digits than its factorization.

40258040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 912 (or 908 counting only the distinct ones).

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

The square root of 40258040 is about 6344.9223793519. The cubic root of 40258040 is about 342.7290172710.

The spelling of 40258040 in words is "forty million, two hundred fifty-eight thousand, forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 73 85 136 146 170 292 340 365 584 680 730 811 1241 1460 1622 2482 2920 3244 4055 4964 6205 6488 8110 9928 12410 13787 16220 24820 27574 32440 49640 55148 59203 68935 110296 118406 137870 236812 275740 296015 473624 551480 592030 1006451 1184060 2012902 2368120 4025804 5032255 8051608 10064510 20129020 40258040