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4485985920 = 2732513139431
BaseRepresentation
bin1000010110110001…
…01011011010000000
3102120122011200210200
410023120223122000
533141403022140
62021050125200
7216111152103
oct41330533200
912518150720
104485985920
1119a2249689
12a52420800
1356650ab50
14307adc73a
151b3c71030
hex10b62b680

4485985920 has 384 divisors, whose sum is σ = 16841260800. Its totient is φ = 1093754880.

The previous prime is 4485985919. The next prime is 4485985921. The reversal of 4485985920 is 295895844.

It is a happy number.

4485985920 is a `hidden beast` number, since 4 + 48 + 5 + 9 + 8 + 592 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4485985919) and next prime (4485985921).

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (4485985921) 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 47 ways as a sum of consecutive naturals, for example, 10408105 + ... + 10408535.

It is an arithmetic number, because the mean of its divisors is an integer number (43857450).

Almost surely, 24485985920 is an apocalyptic number.

4485985920 is a gapful number since it is divisible by the number (40) 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 4485985920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8420630400).

4485985920 is an abundant number, since it is smaller than the sum of its proper divisors (12355274880).

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

4485985920 is a wasteful number, since it uses less digits than its factorization.

4485985920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 608 (or 593 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The square root of 4485985920 is about 66977.5030887238. The cubic root of 4485985920 is about 1649.2480099485.

The spelling of 4485985920 in words is "four billion, four hundred eighty-five million, nine hundred eighty-five thousand, nine hundred twenty".