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444379698 = 232797103353
BaseRepresentation
bin11010011111001…
…011001000110010
31010222011211100100
4122133023020302
51402230122243
6112032333230
714004110430
oct3237131062
91128154310
10444379698
11208928054
121049a4216
13710ac789
1443037d50
152902d0d3
hex1a7cb232

444379698 has 96 divisors (see below), whose sum is σ = 1125686016. Its totient is φ = 124084224.

The previous prime is 444379679. The next prime is 444379717. The reversal of 444379698 is 896973444.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (444379679) and next prime (444379717).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1258690 + ... + 1259042.

It is an arithmetic number, because the mean of its divisors is an integer number (11725896).

Almost surely, 2444379698 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 444379698, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562843008).

444379698 is an abundant number, since it is smaller than the sum of its proper divisors (681306318).

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

444379698 is a wasteful number, since it uses less digits than its factorization.

444379698 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568 (or 565 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The square root of 444379698 is about 21080.3154150976. The cubic root of 444379698 is about 763.1057684807.

The spelling of 444379698 in words is "four hundred forty-four million, three hundred seventy-nine thousand, six hundred ninety-eight".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 97 103 126 194 206 291 309 353 582 618 679 706 721 873 927 1059 1358 1442 1746 1854 2037 2118 2163 2471 3177 4074 4326 4942 6111 6354 6489 7413 9991 12222 12978 14826 19982 22239 29973 34241 36359 44478 59946 68482 69937 72718 89919 102723 109077 139874 179838 205446 209811 218154 239687 254513 308169 327231 419622 479374 509026 616338 629433 654462 719061 763539 1258866 1438122 1527078 2157183 2290617 3526823 4314366 4581234 7053646 10580469 21160938 24687761 31741407 49375522 63482814 74063283 148126566 222189849 444379698