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40490600 = 23521711909
BaseRepresentation
bin1001101001110…
…1011001101000
32211012010122212
42122131121220
540331144400
64003504252
71001110253
oct232353150
984163585
1040490600
1120946207
1211688088
138508c47
14554009a
15384c335
hex269d668

40490600 has 48 divisors (see below), whose sum is σ = 99686700. Its totient is φ = 15242240.

The previous prime is 40490587. The next prime is 40490629. The reversal of 40490600 is 609404.

40490600 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 6 ways, for example, as 17123044 + 23367556 = 4138^2 + 4834^2 .

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 11 ways as a sum of consecutive naturals, for example, 2555 + ... + 9354.

Almost surely, 240490600 is an apocalyptic number.

40490600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40490600 is an abundant number, since it is smaller than the sum of its proper divisors (59196100).

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

40490600 is a wasteful number, since it uses less digits than its factorization.

40490600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11942 (or 11933 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 40490600 is about 6363.2224540715. Note that the first 3 decimals coincide. The cubic root of 40490600 is about 343.3877020340.

The spelling of 40490600 in words is "forty million, four hundred ninety thousand, six hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 136 170 200 340 425 680 850 1700 3400 11909 23818 47636 59545 95272 119090 202453 238180 297725 404906 476360 595450 809812 1012265 1190900 1619624 2024530 2381800 4049060 5061325 8098120 10122650 20245300 40490600