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408828244 = 2211193713217
BaseRepresentation
bin11000010111100…
…011100101010100
31001111021121220211
4120113203211110
51314130000434
6104322335204
713062661036
oct3027434524
91044247824
10408828244
1119a855790
12b4aba504
1366912a06
143c421c56
1525d59464
hex185e3954

408828244 has 48 divisors (see below), whose sum is σ = 843837120. Its totient is φ = 171279360.

The previous prime is 408828241. The next prime is 408828247. The reversal of 408828244 is 442828804.

It is an interprime number because it is at equal distance from previous prime (408828241) and next prime (408828247).

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 408828197 and 408828206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (408828241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24324 + ... + 37540.

It is an arithmetic number, because the mean of its divisors is an integer number (17579940).

Almost surely, 2408828244 is an apocalyptic number.

408828244 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

408828244 is an abundant number, since it is smaller than the sum of its proper divisors (435008876).

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

408828244 is a wasteful number, since it uses less digits than its factorization.

408828244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13288 (or 13286 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 40.

The square root of 408828244 is about 20219.5015764484. The cubic root of 408828244 is about 742.1874912168.

The spelling of 408828244 in words is "four hundred eight million, eight hundred twenty-eight thousand, two hundred forty-four".

Divisors: 1 2 4 11 19 22 37 38 44 74 76 148 209 407 418 703 814 836 1406 1628 2812 7733 13217 15466 26434 30932 52868 145387 251123 290774 489029 502246 581548 978058 1004492 1956116 2762353 5379319 5524706 9291551 10758638 11049412 18583102 21517276 37166204 102207061 204414122 408828244