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4098289248 = 2532103138157
BaseRepresentation
bin1111010001000110…
…1110111001100000
3101120121122122221200
43310101232321200
531343130223443
61514400321200
7203362612104
oct36421567140
911517578850
104098289248
111813417409
12964613200
135040b6631
142ac41b904
1518ebdcdd3
hexf446ee60

4098289248 has 72 divisors (see below), whose sum is σ = 11767745808. Its totient is φ = 1352823552.

The previous prime is 4098289213. The next prime is 4098289301. The reversal of 4098289248 is 8429828904.

4098289248 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 4098289194 and 4098289203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39415 + ... + 98742.

It is an arithmetic number, because the mean of its divisors is an integer number (163440914).

Almost surely, 24098289248 is an apocalyptic number.

4098289248 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4098289248 is an abundant number, since it is smaller than the sum of its proper divisors (7669456560).

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

4098289248 is a wasteful number, since it uses less digits than its factorization.

4098289248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138276 (or 138265 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The square root of 4098289248 is about 64017.8822517584. The cubic root of 4098289248 is about 1600.2980236519.

The spelling of 4098289248 in words is "four billion, ninety-eight million, two hundred eighty-nine thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 103 144 206 288 309 412 618 824 927 1236 1648 1854 2472 3296 3708 4944 7416 9888 14832 29664 138157 276314 414471 552628 828942 1105256 1243413 1657884 2210512 2486826 3315768 4421024 4973652 6631536 9947304 13263072 14230171 19894608 28460342 39789216 42690513 56920684 85381026 113841368 128071539 170762052 227682736 256143078 341524104 455365472 512286156 683048208 1024572312 1366096416 2049144624 4098289248