Search a number
-
+
4812009426 = 2327317192127
BaseRepresentation
bin1000111101101000…
…10110111111010010
3110102100122101222100
410132310112333102
534323333300201
62113254021230
7230150256000
oct43664267722
913370571870
104812009426
11204a2879a4
12b23647816
135b8c1a973
14339127a70
151d26c0886
hex11ed16fd2

4812009426 has 288 divisors, whose sum is σ = 13694054400. Its totient is φ = 1216228608.

The previous prime is 4812009373. The next prime is 4812009431. The reversal of 4812009426 is 6249002184.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 37889775 + ... + 37889901.

It is an arithmetic number, because the mean of its divisors is an integer number (47548800).

Almost surely, 24812009426 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4812009426, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6847027200).

4812009426 is an abundant number, since it is smaller than the sum of its proper divisors (8882044974).

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

4812009426 is a wasteful number, since it uses less digits than its factorization.

4812009426 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 175 counting only the distinct ones).

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

The square root of 4812009426 is about 69368.6487254869. The cubic root of 4812009426 is about 1688.2709842591.

The spelling of 4812009426 in words is "four billion, eight hundred twelve million, nine thousand, four hundred twenty-six".