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2925863424 = 29331171271
BaseRepresentation
bin1010111001100101…
…0010001000000000
321112220112021002000
42232121102020000
521443010112144
61202155224000
7132335300031
oct25631221000
97486467060
102925863424
111271634550
12697a48000
13378227c43
141da828a88
15121cec769
hexae652200

2925863424 has 320 divisors, whose sum is σ = 9616527360. Its totient is φ = 870912000.

The previous prime is 2925863363. The next prime is 2925863441. The reversal of 2925863424 is 4243685292.

2925863424 is a `hidden beast` number, since 2 + 9 + 2 + 5 + 8 + 634 + 2 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2925863424.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10796409 + ... + 10796679.

It is an arithmetic number, because the mean of its divisors is an integer number (30051648).

Almost surely, 22925863424 is an apocalyptic number.

2925863424 is a gapful number since it is divisible by the number (24) 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 2925863424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4808263680).

2925863424 is an abundant number, since it is smaller than the sum of its proper divisors (6690663936).

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

2925863424 is a wasteful number, since it uses less digits than its factorization.

2925863424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 358 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The square root of 2925863424 is about 54091.2509006771. The cubic root of 2925863424 is about 1430.2699579990.

The spelling of 2925863424 in words is "two billion, nine hundred twenty-five million, eight hundred sixty-three thousand, four hundred twenty-four".