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40626500 = 2253193421
BaseRepresentation
bin1001101011111…
…0100101000100
32211110001002012
42122332211010
540400022000
64010433352
71002214415
oct232764504
984401065
1040626500
1120a29322
1211732858
138555a65
14557780c
153877735
hex26be944

40626500 has 48 divisors (see below), whose sum is σ = 89399856. Its totient is φ = 16128000.

The previous prime is 40626499. The next prime is 40626527. The reversal of 40626500 is 562604.

40626500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 32239684 + 8386816 = 5678^2 + 2896^2 .

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, 96290 + ... + 96710.

It is an arithmetic number, because the mean of its divisors is an integer number (1862497).

Almost surely, 240626500 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 40626500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44699928).

40626500 is an abundant number, since it is smaller than the sum of its proper divisors (48773356).

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

40626500 is a wasteful number, since it uses less digits than its factorization.

40626500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633 (or 621 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 40626500 is about 6373.8920605859. The cubic root of 40626500 is about 343.7714476976.

The spelling of 40626500 in words is "forty million, six hundred twenty-six thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 193 250 386 421 500 772 842 965 1684 1930 2105 3860 4210 4825 8420 9650 10525 19300 21050 24125 42100 48250 52625 81253 96500 105250 162506 210500 325012 406265 812530 1625060 2031325 4062650 8125300 10156625 20313250 40626500