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4709985840 = 243357244501
BaseRepresentation
bin1000110001011110…
…01010111000110000
3110011020200001221000
410120233022320300
534121224021330
62055211202000
7224501135100
oct43057127060
913136601830
104709985840
111aa773408a
12ab5446300
135a0a49091
1432976b200
151c876b560
hex118bcae30

4709985840 has 240 divisors, whose sum is σ = 18872408160. Its totient is φ = 1076544000.

The previous prime is 4709985827. The next prime is 4709985851. The reversal of 4709985840 is 485899074.

4709985840 is a `hidden beast` number, since 470 + 9 + 98 + 5 + 84 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×47099858402 = 44367933226001011200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 83590 + ... + 128090.

It is an arithmetic number, because the mean of its divisors is an integer number (78635034).

Almost surely, 24709985840 is an apocalyptic number.

4709985840 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 4709985840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9436204080).

4709985840 is an abundant number, since it is smaller than the sum of its proper divisors (14162422320).

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

4709985840 is a wasteful number, since it uses less digits than its factorization.

4709985840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44537 (or 44518 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The square root of 4709985840 is about 68629.3365842917. The cubic root of 4709985840 is about 1676.2541542070.

The spelling of 4709985840 in words is "four billion, seven hundred nine million, nine hundred eighty-five thousand, eight hundred forty".