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4098800232 = 2334171919583
BaseRepresentation
bin1111010001001110…
…1011101001101000
3101120122121121220000
43310103223221220
531343243101412
61514415303000
7203400140622
oct36423535150
911518547800
104098800232
11181373630a
1296481aa60
135042350a7
142ac511c12
1518ec8e4dc
hexf44eba68

4098800232 has 160 divisors (see below), whose sum is σ = 12796185600. Its totient is φ = 1218157056.

The previous prime is 4098800221. The next prime is 4098800243. The reversal of 4098800232 is 2320088904.

It is an interprime number because it is at equal distance from previous prime (4098800221) and next prime (4098800243).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 39 ways as a sum of consecutive naturals, for example, 199513 + ... + 219095.

It is an arithmetic number, because the mean of its divisors is an integer number (79976160).

Almost surely, 24098800232 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 4098800232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6398092800).

4098800232 is an abundant number, since it is smaller than the sum of its proper divisors (8697385368).

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

4098800232 is a wasteful number, since it uses less digits than its factorization.

4098800232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19637 (or 19624 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 4098800232 is about 64021.8730747547. The cubic root of 4098800232 is about 1600.3645304838.

The spelling of 4098800232 in words is "four billion, ninety-eight million, eight hundred thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 17 18 19 24 27 34 36 38 51 54 57 68 72 76 81 102 108 114 136 152 153 162 171 204 216 228 306 323 324 342 408 456 459 513 612 646 648 684 918 969 1026 1224 1292 1368 1377 1539 1836 1938 2052 2584 2754 2907 3078 3672 3876 4104 5508 5814 6156 7752 8721 11016 11628 12312 17442 19583 23256 26163 34884 39166 52326 58749 69768 78332 104652 117498 156664 176247 209304 234996 332911 352494 372077 469992 528741 665822 704988 744154 998733 1057482 1116231 1331644 1409976 1488308 1586223 1997466 2114964 2232462 2663288 2976616 2996199 3172446 3348693 3994932 4229928 4464924 5992398 6325309 6344892 6697386 7989864 8929848 8988597 10046079 11984796 12650618 12689784 13394772 17977194 18975927 20092158 23969592 25301236 26789544 26965791 30138237 35954388 37951854 40184316 50602472 53931582 56927781 60276474 71908776 75903708 80368632 107863164 113855562 120552948 151807416 170783343 215726328 227711124 241105896 341566686 455422248 512350029 683133372 1024700058 1366266744 2049400116 4098800232