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4708429440 = 2735112131559
BaseRepresentation
bin1000110001010010…
…01110111010000000
3110011010201222221120
410120221032322000
534120324220230
62055113552240
7224451663351
oct43051167200
913133658846
104708429440
111aa6870800
12ab4a15680
135a0622830
14329483d28
151c8560310
hex118a4ee80

4708429440 has 384 divisors, whose sum is σ = 17776886400. Its totient is φ = 1052958720.

The previous prime is 4708429399. The next prime is 4708429441. The reversal of 4708429440 is 449248074.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 4708429392 and 4708429401.

It is not an unprimeable number, because it can be changed into a prime (4708429441) 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 47 ways as a sum of consecutive naturals, for example, 3019381 + ... + 3020939.

It is an arithmetic number, because the mean of its divisors is an integer number (46293975).

Almost surely, 24708429440 is an apocalyptic number.

4708429440 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 4708429440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8888443200).

4708429440 is an abundant number, since it is smaller than the sum of its proper divisors (13068456960).

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

4708429440 is a wasteful number, since it uses less digits than its factorization.

4708429440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1616 (or 1593 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 42.

The square root of 4708429440 is about 68617.9964732285. The cubic root of 4708429440 is about 1676.0694962287.

The spelling of 4708429440 in words is "four billion, seven hundred eight million, four hundred twenty-nine thousand, four hundred forty".