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4649077440 = 2632573143173
BaseRepresentation
bin1000101010001101…
…10100101011000000
3110000000001121022100
410111012310223000
534010130434230
62045153510400
7223131335430
oct42506645300
913000047270
104649077440
111a76312767
12a98b72400
135912417c7
143216342c0
151c3239660
hex1151b4ac0

4649077440 has 672 divisors, whose sum is σ = 19415126016. Its totient is φ = 998645760.

The previous prime is 4649077439. The next prime is 4649077441. The reversal of 4649077440 is 447709464.

It is an interprime number because it is at equal distance from previous prime (4649077439) and next prime (4649077441).

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×46490774402 = 43227842086233907200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4649077441) by changing a digit.

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, 26873194 + ... + 26873366.

Almost surely, 24649077440 is an apocalyptic number.

4649077440 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 4649077440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9707563008).

4649077440 is an abundant number, since it is smaller than the sum of its proper divisors (14766048576).

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

4649077440 is a wasteful number, since it uses less digits than its factorization.

4649077440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The square root of 4649077440 is about 68184.1436112532. The cubic root of 4649077440 is about 1668.9971437183.

The spelling of 4649077440 in words is "four billion, six hundred forty-nine million, seventy-seven thousand, four hundred forty".