Search a number
-
+
2993246928 = 2432721983269
BaseRepresentation
bin1011001001101001…
…0101001011010000
321201121022200212100
42302122111023100
522112232400203
61213003400400
7134114115300
oct26232251320
97647280770
102993246928
1112a66787a1
126b6523100
1338918b839
14205769600
15127bacea3
hexb26952d0

2993246928 has 360 divisors, whose sum is σ = 10419645600. Its totient is φ = 797465088.

The previous prime is 2993246917. The next prime is 2993246939. The reversal of 2993246928 is 8296423992.

2993246928 is a `hidden beast` number, since 299 + 324 + 6 + 9 + 28 = 666.

It is an interprime number because it is at equal distance from previous prime (2993246917) and next prime (2993246939).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11127178 + ... + 11127446.

It is an arithmetic number, because the mean of its divisors is an integer number (28943460).

Almost surely, 22993246928 is an apocalyptic number.

2993246928 is a gapful number since it is divisible by the number (28) 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 2993246928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5209822800).

2993246928 is an abundant number, since it is smaller than the sum of its proper divisors (7426398672).

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

2993246928 is a wasteful number, since it uses less digits than its factorization.

2993246928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399 (or 383 counting only the distinct ones).

The product of its digits is 3359232, while the sum is 54.

The square root of 2993246928 is about 54710.5741881768. The cubic root of 2993246928 is about 1441.1665778208.

The spelling of 2993246928 in words is "two billion, nine hundred ninety-three million, two hundred forty-six thousand, nine hundred twenty-eight".