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2923985088 = 263319293783
BaseRepresentation
bin1010111001001000…
…0111100011000000
321112202222211111000
42232102013203000
521442020010323
61202051052000
7132313314603
oct25622074300
97482884430
102923985088
111270571302
126972a1000
13377a1acbb
141da49a33a
15121a7ae43
hexae4878c0

2923985088 has 448 divisors, whose sum is σ = 9729216000. Its totient is φ = 856977408.

The previous prime is 2923985083. The next prime is 2923985191. The reversal of 2923985088 is 8805893292.

2923985088 is a `hidden beast` number, since 29 + 23 + 98 + 508 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2923985081) 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 63 ways as a sum of consecutive naturals, for example, 35228695 + ... + 35228777.

It is an arithmetic number, because the mean of its divisors is an integer number (21717000).

Almost surely, 22923985088 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 2923985088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4864608000).

2923985088 is an abundant number, since it is smaller than the sum of its proper divisors (6805230912).

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

2923985088 is a wasteful number, since it uses less digits than its factorization.

2923985088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The square root of 2923985088 is about 54073.8854531464. The cubic root of 2923985088 is about 1429.9638258409.

The spelling of 2923985088 in words is "two billion, nine hundred twenty-three million, nine hundred eighty-five thousand, eighty-eight".