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5306972288 = 274721372
BaseRepresentation
bin1001111000101000…
…11111100010000000
3111200212000010101012
410330110133202000
541332041103123
62234334500052
7245340343262
oct47424374200
914625003335
105306972288
112283713912
121041364628
1366762b0b7
14384b6bb32
15210d91378
hex13c51f880

5306972288 has 72 divisors (see below), whose sum is σ = 10881640245. Its totient is φ = 2578072576.

The previous prime is 5306972287. The next prime is 5306972303. The reversal of 5306972288 is 8822796035.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 5266114624 + 40857664 = 72568^2 + 6392^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=51512.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5306972287) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 38736956 + ... + 38737092.

Almost surely, 25306972288 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 5306972288

5306972288 is an abundant number, since it is smaller than the sum of its proper divisors (5574667957).

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

5306972288 is an frugal number, since it uses more digits than its factorization.

5306972288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 50.

The square root of 5306972288 is about 72848.9690249629. The cubic root of 5306972288 is about 1744.2776120088.

Multiplying 5306972288 by its sum of digits (50), we get a square (265348614400 = 5151202).

The spelling of 5306972288 in words is "five billion, three hundred six million, nine hundred seventy-two thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 16 32 47 64 94 128 137 188 274 376 548 752 1096 1504 2192 2209 3008 4384 4418 6016 6439 8768 8836 12878 17536 17672 18769 25756 35344 37538 51512 70688 75076 103024 141376 150152 206048 282752 300304 302633 412096 600608 605266 824192 882143 1201216 1210532 1764286 2402432 2421064 3528572 4842128 7057144 9684256 14114288 19368512 28228576 38737024 41460721 56457152 82921442 112914304 165842884 331685768 663371536 1326743072 2653486144 5306972288