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5304987648 = 2123347969
BaseRepresentation
bin1001111000011001…
…11011000000000000
3111200201021021222000
410330030323000000
541331034101043
62234224144000
7245314436202
oct47414730000
914621237860
105304987648
112282588814
121040768000
136670b495c
143847b2772
15210aed2d3
hex13c33b000

5304987648 has 104 divisors (see below), whose sum is σ = 15716890800. Its totient is φ = 1768292352.

The previous prime is 5304987647. The next prime is 5304987689. The reversal of 5304987648 is 8467894035.

5304987648 is a `hidden beast` number, since 530 + 49 + 8 + 7 + 64 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 5304987594 and 5304987603.

It is not an unprimeable number, because it can be changed into a prime (5304987641) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 86608 + ... + 134576.

It is an arithmetic number, because the mean of its divisors is an integer number (151123950).

Almost surely, 25304987648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5304987648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7858445400).

5304987648 is an abundant number, since it is smaller than the sum of its proper divisors (10411903152).

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

5304987648 is an equidigital number, since it uses as much as digits as its factorization.

5304987648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48002 (or 47974 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The square root of 5304987648 is about 72835.3461445746. The cubic root of 5304987648 is about 1744.0601499889.

The spelling of 5304987648 in words is "five billion, three hundred four million, nine hundred eighty-seven thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1024 1152 1536 1728 2048 2304 3072 3456 4096 4608 6144 6912 9216 12288 13824 18432 27648 36864 47969 55296 95938 110592 143907 191876 287814 383752 431721 575628 767504 863442 1151256 1295163 1535008 1726884 2302512 2590326 3070016 3453768 4605024 5180652 6140032 6907536 9210048 10361304 12280064 13815072 18420096 20722608 24560128 27630144 36840192 41445216 49120256 55260288 73680384 82890432 98240512 110520576 147360768 165780864 196481024 221041152 294721536 331561728 442082304 589443072 663123456 884164608 1326246912 1768329216 2652493824 5304987648