Search a number
-
+
4295098368 = 2173211331
BaseRepresentation
bin1000000000000001…
…00000000000000000
3102002022222121022100
410000000200000000
532244021121433
61550110510400
7211302506451
oct40000400000
912068877270
104295098368
11190451aa80
129ba505400
13535ac4432
142ca60d128
151a2116b13
hex100020000

4295098368 has 216 divisors, whose sum is σ = 13576910256. Its totient is φ = 1297612800.

The previous prime is 4295098349. The next prime is 4295098403. The reversal of 4295098368 is 8638905924.

It is a Cunningham number, because it is equal to 655372-1.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (2) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12975963 + ... + 12976293.

It is an arithmetic number, because the mean of its divisors is an integer number (62856066).

Almost surely, 24295098368 is an apocalyptic number.

4295098368 is a gapful number since it is divisible by the number (48) 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 4295098368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6788455128).

4295098368 is an abundant number, since it is smaller than the sum of its proper divisors (9281811888).

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

4295098368 is an equidigital number, since it uses as much as digits as its factorization.

4295098368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The square root of 4295098368 is about 65536.9999923707. Note that the first 5 decimals coincide. The cubic root of 4295098368 is about 1625.5152124749.

The spelling of 4295098368 in words is "four billion, two hundred ninety-five million, ninety-eight thousand, three hundred sixty-eight".