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4648901040 = 243557127269
BaseRepresentation
bin1000101010001100…
…01001100110110000
3102222222201122100000
410111012021212300
534010104313130
62045150030000
7223130002230
oct42506114660
912888648300
104648901040
111a76202183
12a98aa8300
135911ac424
143215c9cc0
151c3202260
hex1151899b0

4648901040 has 480 divisors, whose sum is σ = 18718801920. Its totient is φ = 1050319872.

The previous prime is 4648901017. The next prime is 4648901053. The reversal of 4648901040 is 401098464.

It is a happy number.

4648901040 is a `hidden beast` number, since 4 + 648 + 9 + 0 + 1 + 0 + 4 + 0 = 666.

It is a super-2 number, since 2×46489010402 = 43224561759426163200, 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 = 4648900986 and 4648901004.

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 95 ways as a sum of consecutive naturals, for example, 17282026 + ... + 17282294.

It is an arithmetic number, because the mean of its divisors is an integer number (38997504).

Almost surely, 24648901040 is an apocalyptic number.

4648901040 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 4648901040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9359400960).

4648901040 is an abundant number, since it is smaller than the sum of its proper divisors (14069900880).

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

4648901040 is a wasteful number, since it uses less digits than its factorization.

4648901040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 4648901040 is about 68182.8500431010. The cubic root of 4648901040 is about 1668.9760345252.

The spelling of 4648901040 in words is "four billion, six hundred forty-eight million, nine hundred one thousand, forty".