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408270093 = 37112317173
BaseRepresentation
bin11000010101011…
…011010100001101
31001110020021021120
4120111123110031
51314004120333
6104302351153
713055144550
oct3025332415
91043207246
10408270093
1119a504400
12b488b4b9
136677894a
143c318697
1525c98db3
hex1855b50d

408270093 has 96 divisors (see below), whose sum is σ = 725630976. Its totient is φ = 199584000.

The previous prime is 408270067. The next prime is 408270097. The reversal of 408270093 is 390072804.

It is not a de Polignac number, because 408270093 - 216 = 408204557 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (408270097) 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, 5592705 + ... + 5592777.

It is an arithmetic number, because the mean of its divisors is an integer number (7558656).

Almost surely, 2408270093 is an apocalyptic number.

It is an amenable number.

408270093 is a deficient number, since it is larger than the sum of its proper divisors (317360883).

408270093 is a wasteful number, since it uses less digits than its factorization.

408270093 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 408270093 is about 20205.6945686111. The cubic root of 408270093 is about 741.8495813011.

The spelling of 408270093 in words is "four hundred eight million, two hundred seventy thousand, ninety-three".

Divisors: 1 3 7 11 21 31 33 71 73 77 93 121 213 217 219 231 341 363 497 511 651 781 803 847 1023 1491 1533 2201 2263 2343 2387 2409 2541 3751 5183 5467 5621 6603 6789 7161 8591 8833 11253 15407 15549 15841 16401 16863 24211 24893 25773 26257 26499 36281 46221 47523 57013 60137 61831 72633 74679 78771 108843 160673 169477 171039 174251 180411 185493 266321 273823 399091 482019 508431 522753 627143 798963 821469 1124711 1197273 1767403 1864247 1881429 1916761 3374133 4390001 5302209 5592741 5750283 12371821 13170003 19441433 37115463 58324299 136090031 408270093