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4098297960 = 2332531367231
BaseRepresentation
bin1111010001000111…
…0001000001101000
3101120121200002220100
43310101301001220
531343131013320
61514400425400
7203362646361
oct36421610150
911517602810
104098297960
111813422a09
12964618260
135040ba5a3
142ac420b68
1518ebe0790
hexf4471068

4098297960 has 96 divisors (see below), whose sum is σ = 13749166080. Its totient is φ = 1057622400.

The previous prime is 4098297953. The next prime is 4098298019. The reversal of 4098297960 is 697928904.

It is a junction number, because it is equal to n+sod(n) for n = 4098297897 and 4098297906.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 172456 + ... + 194775.

It is an arithmetic number, because the mean of its divisors is an integer number (143220480).

Almost surely, 24098297960 is an apocalyptic number.

4098297960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4098297960 is an abundant number, since it is smaller than the sum of its proper divisors (9650868120).

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

4098297960 is a wasteful number, since it uses less digits than its factorization.

4098297960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367279 (or 367272 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The square root of 4098297960 is about 64017.9502952102. The cubic root of 4098297960 is about 1600.2991576036.

The spelling of 4098297960 in words is "four billion, ninety-eight million, two hundred ninety-seven thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 31 36 40 45 60 62 72 90 93 120 124 155 180 186 248 279 310 360 372 465 558 620 744 930 1116 1240 1395 1860 2232 2790 3720 5580 11160 367231 734462 1101693 1468924 1836155 2203386 2937848 3305079 3672310 4406772 5508465 6610158 7344620 8813544 11016930 11384161 13220316 14689240 16525395 22033860 22768322 26440632 33050790 34152483 44067720 45536644 56920805 66101580 68304966 91073288 102457449 113841610 132203160 136609932 170762415 204914898 227683220 273219864 341524830 409829796 455366440 512287245 683049660 819659592 1024574490 1366099320 2049148980 4098297960