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4009750272 = 283211219757
BaseRepresentation
bin1110111011111111…
…1110111100000000
3101100110001102022100
43232333332330000
531202444002042
61501514510400
7201236213013
oct35677767400
911313042270
104009750272
111778443800
1293aa35400
134bb9566c8
142a077137a
1518704e24c
hexeeffef00

4009750272 has 324 divisors, whose sum is σ = 13394148040. Its totient is φ = 1149603840.

The previous prime is 4009750247. The next prime is 4009750309. The reversal of 4009750272 is 2720579004.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5296518 + ... + 5297274.

Almost surely, 24009750272 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 4009750272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6697074020).

4009750272 is an abundant number, since it is smaller than the sum of its proper divisors (9384397768).

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

4009750272 is a wasteful number, since it uses less digits than its factorization.

4009750272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 820 (or 792 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 4009750272 is about 63322.5889552851. The cubic root of 4009750272 is about 1588.6898047297.

The spelling of 4009750272 in words is "four billion, nine million, seven hundred fifty thousand, two hundred seventy-two".