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4294338048 = 293273111319
BaseRepresentation
bin1111111111110110…
…0110011000000000
3102002021112222100100
43333331212120000
532243322304143
61550042322400
7211263162000
oct37775463000
912067488310
104294338048
111904050810
129ba1b9400
135358b9340
142ca492000
151a20166d3
hexfff66600

4294338048 has 960 divisors, whose sum is σ = 17873856000. Its totient is φ = 975421440.

The previous prime is 4294338047. The next prime is 4294338049. The reversal of 4294338048 is 8408334924.

It is an interprime number because it is at equal distance from previous prime (4294338047) and next prime (4294338049).

It is a nialpdrome in base 16.

It is a zygodrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 4294337994 and 4294338012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4294338047) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 226017783 + ... + 226017801.

It is an arithmetic number, because the mean of its divisors is an integer number (18618600).

Almost surely, 24294338048 is an apocalyptic number.

4294338048 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 4294338048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8936928000).

4294338048 is an abundant number, since it is smaller than the sum of its proper divisors (13579517952).

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

4294338048 is a wasteful number, since it uses less digits than its factorization.

4294338048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The square root of 4294338048 is about 65531.1990428986. The cubic root of 4294338048 is about 1625.4192903675.

The spelling of 4294338048 in words is "four billion, two hundred ninety-four million, three hundred thirty-eight thousand, forty-eight".