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404467245 = 325713432297
BaseRepresentation
bin11000000110111…
…010111000101101
31001012002001202100
4120012322320231
51312020422440
6104045045313
713010625540
oct3006727055
91035061670
10404467245
11198347256
12b3556839
1365a46a40
143ba08857
1525797230
hex181bae2d

404467245 has 96 divisors (see below), whose sum is σ = 883314432. Its totient is φ = 166634496.

The previous prime is 404467223. The next prime is 404467249. The reversal of 404467245 is 542764404.

404467245 is a `hidden beast` number, since 404 + 4 + 6 + 7 + 245 = 666.

It is not a de Polignac number, because 404467245 - 28 = 404466989 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404467249) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 174937 + ... + 177233.

It is an arithmetic number, because the mean of its divisors is an integer number (9201192).

Almost surely, 2404467245 is an apocalyptic number.

404467245 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

404467245 is an abundant number, since it is smaller than the sum of its proper divisors (478847187).

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

404467245 is a wasteful number, since it uses less digits than its factorization.

404467245 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2371 (or 2368 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 36.

The square root of 404467245 is about 20111.3710373013. The cubic root of 404467245 is about 739.5390634473.

It can be divided in two parts, 4044 and 67245, that added together give a square (71289 = 2672).

The spelling of 404467245 in words is "four hundred four million, four hundred sixty-seven thousand, two hundred forty-five".

Divisors: 1 3 5 7 9 13 15 21 35 39 43 45 63 65 91 105 117 129 195 215 273 301 315 387 455 559 585 645 819 903 1365 1505 1677 1935 2297 2709 2795 3913 4095 4515 5031 6891 8385 11485 11739 13545 16079 19565 20673 25155 29861 34455 35217 48237 58695 80395 89583 98771 103365 144711 149305 176085 209027 241185 268749 296313 447915 493855 627081 691397 723555 888939 1045135 1284023 1343745 1481565 1881243 2074191 3135405 3456985 3852069 4444695 6222573 6420115 8988161 9406215 10370955 11556207 19260345 26964483 31112865 44940805 57781035 80893449 134822415 404467245