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4275312820 = 2252934921121
BaseRepresentation
bin1111111011010100…
…0001100010110100
3102000221202101122021
43332311001202310
532223440002240
61544122442524
7210642362602
oct37665014264
912027671567
104275312820
1118a4336889
129b3963444
135319877cc
142c7b3c872
151a050954a
hexfed418b4

4275312820 has 48 divisors (see below), whose sum is σ = 9314802000. Its totient is φ = 1646346240.

The previous prime is 4275312809. The next prime is 4275312857. The reversal of 4275312820 is 282135724.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 143137296 + 4132175524 = 11964^2 + 64282^2 .

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 191860 + ... + 212980.

It is an arithmetic number, because the mean of its divisors is an integer number (194058375).

Almost surely, 24275312820 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 4275312820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4657401000).

4275312820 is an abundant number, since it is smaller than the sum of its proper divisors (5039489180).

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

4275312820 is a wasteful number, since it uses less digits than its factorization.

4275312820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21508 (or 21506 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 34.

The square root of 4275312820 is about 65385.8763036789. The cubic root of 4275312820 is about 1623.0153690081.

The spelling of 4275312820 in words is "four billion, two hundred seventy-five million, three hundred twelve thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 349 580 698 1396 1745 3490 6980 10121 20242 21121 40484 42242 50605 84484 101210 105605 202420 211210 422420 612509 1225018 2450036 3062545 6125090 7371229 12250180 14742458 29484916 36856145 73712290 147424580 213765641 427531282 855062564 1068828205 2137656410 4275312820