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104585481 = 327111321947
BaseRepresentation
bin1100011101111…
…01100100001001
321021210111022100
412032331210021
5203233213411
614213344013
72406650640
oct616754411
9237714270
10104585481
1154043690
122b038009
131888aa00
14dc66357
1592ad456
hex63bd909

104585481 has 144 divisors (see below), whose sum is σ = 219248640. Its totient is φ = 46500480.

The previous prime is 104585461. The next prime is 104585489. The reversal of 104585481 is 184585401.

104585481 is a `hidden beast` number, since 104 + 5 + 8 + 548 + 1 = 666.

It is not a de Polignac number, because 104585481 - 25 = 104585449 is a prime.

It is a super-2 number, since 2×1045854812 = 21876245672002722, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (104585489) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2225200 + ... + 2225246.

It is an arithmetic number, because the mean of its divisors is an integer number (1522560).

Almost surely, 2104585481 is an apocalyptic number.

104585481 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

104585481 is an abundant number, since it is smaller than the sum of its proper divisors (114663159).

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

104585481 is a wasteful number, since it uses less digits than its factorization.

104585481 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 36.

The square root of 104585481 is about 10226.7043078403. The cubic root of 104585481 is about 471.1477622048.

It can be divided in two parts, 104 and 585481, that added together give a palindrome (585585).

The spelling of 104585481 in words is "one hundred four million, five hundred eighty-five thousand, four hundred eighty-one".

Divisors: 1 3 7 9 11 13 19 21 33 39 47 57 63 77 91 99 117 133 141 143 169 171 209 231 247 273 329 399 423 429 507 517 611 627 693 741 819 893 987 1001 1183 1197 1287 1463 1521 1551 1729 1833 1859 1881 2223 2679 2717 2961 3003 3211 3549 3619 4277 4389 4653 5187 5499 5577 6251 6721 7943 8037 8151 9009 9633 9823 10647 10857 11609 12831 13013 13167 15561 16731 18753 19019 20163 22477 23829 24453 28899 29469 32571 34827 35321 38493 39039 47047 55601 56259 57057 60489 67431 68761 71487 81263 87373 88407 104481 105963 117117 127699 141141 150917 166803 171171 202293 206283 243789 247247 262119 317889 383097 423423 452751 500409 611611 618849 731367 741741 786357 893893 1056419 1149291 1358253 1660087 1834833 2225223 2681679 3169257 4980261 5504499 8045037 9507771 11620609 14940783 34861827 104585481