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4575616640 = 27571773823
BaseRepresentation
bin1000100001011101…
…00101111010000000
3102210212211102000222
410100232211322000
533332324213030
62034011202212
7221250046130
oct42056457200
912725742028
104575616640
111a388a8561
12a78446368
1357bc6098a
14315990ac0
151bba783e5
hex110ba5e80

4575616640 has 256 divisors, whose sum is σ = 13434232320. Its totient is φ = 1454505984.

The previous prime is 4575616621. The next prime is 4575616673. The reversal of 4575616640 is 466165754.

It is a junction number, because it is equal to n+sod(n) for n = 4575616591 and 4575616600.

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 31 ways as a sum of consecutive naturals, for example, 5559269 + ... + 5560091.

It is an arithmetic number, because the mean of its divisors is an integer number (52477470).

Almost surely, 24575616640 is an apocalyptic number.

4575616640 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 4575616640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6717116160).

4575616640 is an abundant number, since it is smaller than the sum of its proper divisors (8858615680).

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

4575616640 is a wasteful number, since it uses less digits than its factorization.

4575616640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 939 (or 927 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 44.

The square root of 4575616640 is about 67643.3044728006. The cubic root of 4575616640 is about 1660.1597368906.

The spelling of 4575616640 in words is "four billion, five hundred seventy-five million, six hundred sixteen thousand, six hundred forty".