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445054104 = 2332113118127
BaseRepresentation
bin11010100001101…
…111110010011000
31011000110002110100
4122201233302120
51402413212404
6112055015400
714012616555
oct3241576230
91130402410
10445054104
11209248810
1210506a560
1371287731
1443171a2c
1529112d39
hex1a86fc98

445054104 has 96 divisors (see below), whose sum is σ = 1357424640. Its totient is φ = 130507200.

The previous prime is 445054087. The next prime is 445054111. The reversal of 445054104 is 401450544.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15489 + ... + 33615.

It is an arithmetic number, because the mean of its divisors is an integer number (14139840).

Almost surely, 2445054104 is an apocalyptic number.

445054104 is a gapful number since it is divisible by the number (44) 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 445054104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (678712320).

445054104 is an abundant number, since it is smaller than the sum of its proper divisors (912370536).

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

445054104 is a wasteful number, since it uses less digits than its factorization.

445054104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18181 (or 18174 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

The square root of 445054104 is about 21096.3054585394. The cubic root of 445054104 is about 763.4916119262.

The spelling of 445054104 in words is "four hundred forty-five million, fifty-four thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 31 33 36 44 62 66 72 88 93 99 124 132 186 198 248 264 279 341 372 396 558 682 744 792 1023 1116 1364 2046 2232 2728 3069 4092 6138 8184 12276 18127 24552 36254 54381 72508 108762 145016 163143 199397 217524 326286 398794 435048 561937 598191 652572 797588 1123874 1196382 1305144 1595176 1685811 1794573 2247748 2392764 3371622 3589146 4495496 4785528 5057433 6181307 6743244 7178292 10114866 12362614 13486488 14356584 18543921 20229732 24725228 37087842 40459464 49450456 55631763 74175684 111263526 148351368 222527052 445054104