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1608450048 = 21635101
BaseRepresentation
bin101111111011111…
…0000000000000000
311011002120201200000
41133313300000000
511243230400143
6423334400000
754600412512
oct13767600000
94132521600
101608450048
11755a23367
1238a800000
131c8303cba
14113893bb2
159631cbd3
hex5fdf0000

1608450048 has 204 divisors, whose sum is σ = 4866404088. Its totient is φ = 530841600.

The previous prime is 1608450031. The next prime is 1608450079. The reversal of 1608450048 is 8400548061.

1608450048 is a `hidden beast` number, since 1 + 608 + 4 + 5 + 0 + 0 + 48 = 666.

It is a super-2 number, since 2×16084500482 = 5174223113822404608, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1608449994 and 1608450021.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 15925198 + ... + 15925298.

It is an arithmetic number, because the mean of its divisors is an integer number (23854922).

Almost surely, 21608450048 is an apocalyptic number.

1608450048 is a gapful number since it is divisible by the number (18) 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 1608450048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2433202044).

1608450048 is an abundant number, since it is smaller than the sum of its proper divisors (3257954040).

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

1608450048 is an frugal number, since it uses more digits than its factorization.

1608450048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 1608450048 is about 40105.4865074593. The cubic root of 1608450048 is about 1171.6624886713.

The spelling of 1608450048 in words is "one billion, six hundred eight million, four hundred fifty thousand, forty-eight".