Search a number
-
+
2491929792 = 263311314229
BaseRepresentation
bin1001010010000111…
…1101010011000000
320102200000011001000
42110201331103000
520100413223132
61051134412000
7115516024302
oct22441752300
96380004030
102491929792
1110696a1810
12596661000
13309365091
14198d4d972
15e8b8487c
hex9487d4c0

2491929792 has 224 divisors, whose sum is σ = 8251545600. Its totient is φ = 730598400.

The previous prime is 2491929787. The next prime is 2491929793. The reversal of 2491929792 is 2979291942.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2491929793) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 587134 + ... + 591362.

Almost surely, 22491929792 is an apocalyptic number.

2491929792 is a gapful number since it is divisible by the number (22) 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 2491929792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4125772800).

2491929792 is an abundant number, since it is smaller than the sum of its proper divisors (5759615808).

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

2491929792 is a wasteful number, since it uses less digits than its factorization.

2491929792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4292 (or 4276 counting only the distinct ones).

The product of its digits is 1469664, while the sum is 54.

The square root of 2491929792 is about 49919.2326864106. The cubic root of 2491929792 is about 1355.7468397308.

The spelling of 2491929792 in words is "two billion, four hundred ninety-one million, nine hundred twenty-nine thousand, seven hundred ninety-two".