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4929711840 = 253551031231
BaseRepresentation
bin1001001011101010…
…10110111011100000
3110201120010022100000
410211311112323200
540044001234330
62133100500000
7233106600504
oct44565267340
913646108300
104929711840
1120aa76a519
12b56b4a600
1360741bb71
1434aa06304
151dcbc0560
hex125d56ee0

4929711840 has 288 divisors, whose sum is σ = 17629387776. Its totient is φ = 1300769280.

The previous prime is 4929711821. The next prime is 4929711841. The reversal of 4929711840 is 481179294.

It is a happy number.

4929711840 is a `hidden beast` number, since 492 + 9 + 7 + 118 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 (4929711841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4004025 + ... + 4005255.

It is an arithmetic number, because the mean of its divisors is an integer number (61213152).

Almost surely, 24929711840 is an apocalyptic number.

4929711840 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 4929711840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8814693888).

4929711840 is an abundant number, since it is smaller than the sum of its proper divisors (12699675936).

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

4929711840 is a wasteful number, since it uses less digits than its factorization.

4929711840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1364 (or 1344 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 4929711840 is about 70211.9066825563. The cubic root of 4929711840 is about 1701.9253664336.

The spelling of 4929711840 in words is "four billion, nine hundred twenty-nine million, seven hundred eleven thousand, eight hundred forty".