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2485933632 = 263371315809
BaseRepresentation
bin1001010000101100…
…0101011001000000
320102020201111212000
42110023011121000
520042344334012
61050402104000
7115414041630
oct22413053100
96366644760
102485933632
111066276806
1259464b000
13308045a60
1419822c6c0
15e839cddc
hex942c5640

2485933632 has 224 divisors, whose sum is σ = 8995257600. Its totient is φ = 655589376.

The previous prime is 2485933627. The next prime is 2485933643. The reversal of 2485933632 is 2363395842.

2485933632 is a `hidden beast` number, since 2 + 4 + 8 + 5 + 9 + 3 + 3 + 632 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×24859336322 = 12359732045417422848, which contains 22 as substring.

It is a congruent number.

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, 149344 + ... + 165152.

It is an arithmetic number, because the mean of its divisors is an integer number (40157400).

Almost surely, 22485933632 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 2485933632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4497628800).

2485933632 is an abundant number, since it is smaller than the sum of its proper divisors (6509323968).

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

2485933632 is a wasteful number, since it uses less digits than its factorization.

2485933632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15850 (or 15834 counting only the distinct ones).

The product of its digits is 933120, while the sum is 45.

The square root of 2485933632 is about 49859.1378986841. The cubic root of 2485933632 is about 1354.6585527824.

The spelling of 2485933632 in words is "two billion, four hundred eighty-five million, nine hundred thirty-three thousand, six hundred thirty-two".