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405223104 = 263111314759
BaseRepresentation
bin11000001001110…
…011011011000000
31001020111110121010
4120021303123000
51312214114404
6104113200520
713020224316
oct3011633300
91036443533
10405223104
11198813130
12b3860140
1365c4cab0
143bb640b6
1525896189
hex182736c0

405223104 has 112 divisors (see below), whose sum is σ = 1259677440. Its totient is φ = 113341440.

The previous prime is 405223081. The next prime is 405223139. The reversal of 405223104 is 401322504.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20077 + ... + 34835.

It is an arithmetic number, because the mean of its divisors is an integer number (11247120).

Almost surely, 2405223104 is an apocalyptic number.

405223104 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 405223104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (629838720).

405223104 is an abundant number, since it is smaller than the sum of its proper divisors (854454336).

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

405223104 is a wasteful number, since it uses less digits than its factorization.

405223104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14798 (or 14788 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 405223104 is about 20130.1540977708. The cubic root of 405223104 is about 739.9994545893. Note that the first 3 decimals are identical.

Adding to 405223104 its reverse (401322504), we get a palindrome (806545608).

The spelling of 405223104 in words is "four hundred five million, two hundred twenty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 32 33 39 44 48 52 64 66 78 88 96 104 132 143 156 176 192 208 264 286 312 352 416 429 528 572 624 704 832 858 1056 1144 1248 1716 2112 2288 2496 3432 4576 6864 9152 13728 14759 27456 29518 44277 59036 88554 118072 162349 177108 191867 236144 324698 354216 383734 472288 487047 575601 649396 708432 767468 944576 974094 1151202 1298792 1416864 1534936 1948188 2110537 2302404 2597584 2833728 3069872 3896376 4221074 4604808 5195168 6139744 6331611 7792752 8442148 9209616 10390336 12279488 12663222 15585504 16884296 18419232 25326444 31171008 33768592 36838464 50652888 67537184 101305776 135074368 202611552 405223104