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4009394640 = 243516705811
BaseRepresentation
bin1110111011111010…
…1000000111010000
3101100102101100110210
43232332220013100
531202401112030
61501503124120
7201233202126
oct35676500720
911312340423
104009394640
111778220599
1293a8a3640
134bb860884
142a06bb916
15186ecdbb0
hexeefa81d0

4009394640 has 40 divisors (see below), whose sum is σ = 12429124128. Its totient is φ = 1069171840.

The previous prime is 4009394621. The next prime is 4009394647. The reversal of 4009394640 is 464939004.

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4009394647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8352666 + ... + 8353145.

Almost surely, 24009394640 is an apocalyptic number.

4009394640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4009394640 is an abundant number, since it is smaller than the sum of its proper divisors (8419729488).

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

4009394640 is a wasteful number, since it uses less digits than its factorization.

4009394640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16705827 (or 16705821 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 39.

The square root of 4009394640 is about 63319.7807955776. The cubic root of 4009394640 is about 1588.6428354175.

The spelling of 4009394640 in words is "four billion, nine million, three hundred ninety-four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 16705811 33411622 50117433 66823244 83529055 100234866 133646488 167058110 200469732 250587165 267292976 334116220 400939464 501174330 668232440 801878928 1002348660 1336464880 2004697320 4009394640