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2923597248 = 263111328191
BaseRepresentation
bin1010111001000010…
…1000110111000000
321112202021010110120
42232100220313000
521441420102443
61202034500240
7132310111065
oct25620506700
97482233416
102923597248
111270326980
12697134680
13377913600
141da3d8c6c
15121a01083
hexae428dc0

2923597248 has 168 divisors, whose sum is σ = 9138733056. Its totient is φ = 817689600.

The previous prime is 2923597247. The next prime is 2923597349. The reversal of 2923597248 is 8427953292.

It is a self number, because there is not a number n which added to its sum of digits gives 2923597248.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2923597247) 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 23 ways as a sum of consecutive naturals, for example, 352833 + ... + 361023.

Almost surely, 22923597248 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 2923597248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4569366528).

2923597248 is an abundant number, since it is smaller than the sum of its proper divisors (6215135808).

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

2923597248 is a wasteful number, since it uses less digits than its factorization.

2923597248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8243 (or 8220 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 51.

The square root of 2923597248 is about 54070.2991299290. The cubic root of 2923597248 is about 1429.9005991513.

The spelling of 2923597248 in words is "two billion, nine hundred twenty-three million, five hundred ninety-seven thousand, two hundred forty-eight".