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405550404 = 223274797353
BaseRepresentation
bin11000001011000…
…011010101000100
31001021010002120100
4120023003111010
51312310103104
6104124204100
713023056460
oct3013032504
91037102510
10405550404
11198a17026
12b3999630
1366035a6c
143bc0b4a0
152590d139
hex182c3544

405550404 has 144 divisors (see below), whose sum is σ = 1212277248. Its totient is φ = 111919104.

The previous prime is 405550403. The next prime is 405550417. The reversal of 405550404 is 404055504.

It is a super-2 number, since 2×4055504042 = 328942260369126432, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (405550403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1148692 + ... + 1149044.

It is an arithmetic number, because the mean of its divisors is an integer number (8418592).

Almost surely, 2405550404 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 405550404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (606138624).

405550404 is an abundant number, since it is smaller than the sum of its proper divisors (806726844).

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

405550404 is a wasteful number, since it uses less digits than its factorization.

405550404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 27.

The square root of 405550404 is about 20138.2820518534. The cubic root of 405550404 is about 740.1986342834.

The spelling of 405550404 in words is "four hundred five million, five hundred fifty thousand, four hundred four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 47 63 84 94 97 126 141 188 194 252 282 291 329 353 388 423 564 582 658 679 706 846 873 987 1059 1164 1316 1358 1412 1692 1746 1974 2037 2118 2471 2716 2961 3177 3492 3948 4074 4236 4559 4942 5922 6111 6354 7413 8148 9118 9884 11844 12222 12708 13677 14826 16591 18236 22239 24444 27354 29652 31913 33182 34241 41031 44478 49773 54708 63826 66364 68482 82062 88956 95739 99546 102723 116137 127652 136964 149319 164124 191478 199092 205446 232274 239687 287217 298638 308169 348411 382956 410892 464548 479374 574434 597276 616338 696822 719061 958748 1045233 1148868 1232676 1393644 1438122 1609327 2090466 2157183 2876244 3218654 4180932 4314366 4827981 6437308 8628732 9655962 11265289 14483943 19311924 22530578 28967886 33795867 45061156 57935772 67591734 101387601 135183468 202775202 405550404