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4606499040 = 2535112136101
BaseRepresentation
bin1000100101001000…
…11001100011100000
3102220000221101201120
410102210121203200
533413230432130
62041033132240
7222103411233
oct42244314340
912800841646
104606499040
111a54280a00
12a8685a080
135854844a0
14319b0d41a
151be628910
hex1129198e0

4606499040 has 288 divisors, whose sum is σ = 17179229088. Its totient is φ = 1030656000.

The previous prime is 4606499021. The next prime is 4606499047. The reversal of 4606499040 is 409946064.

It is a junction number, because it is equal to n+sod(n) for n = 4606498983 and 4606499001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4606499047) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 751990 + ... + 758090.

It is an arithmetic number, because the mean of its divisors is an integer number (59650101).

Almost surely, 24606499040 is an apocalyptic number.

4606499040 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 4606499040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8589614544).

4606499040 is an abundant number, since it is smaller than the sum of its proper divisors (12572730048).

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

4606499040 is a wasteful number, since it uses less digits than its factorization.

4606499040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6154 (or 6135 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

The square root of 4606499040 is about 67871.1944789540. The cubic root of 4606499040 is about 1663.8863604285.

The spelling of 4606499040 in words is "four billion, six hundred six million, four hundred ninety-nine thousand, forty".