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408605796 = 223411232
BaseRepresentation
bin11000010110101…
…101010001100100
31001110212022210000
4120112231101210
51314100341141
6104313501300
713061043354
oct3026552144
91043768700
10408605796
1119a713645
12b4a11830
13668656a1
143c3a4b64
1525d135b6
hex185ad464

408605796 has 45 divisors (see below), whose sum is σ = 1069128291. Its totient is φ = 136080648.

The previous prime is 408605789. The next prime is 408605797. The reversal of 408605796 is 697506804.

The square root of 408605796 is 20214.

It is a perfect power (a square), and thus also a powerful number.

It is not an unprimeable number, because it can be changed into a prime (408605797) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 363291 + ... + 364413.

Almost surely, 2408605796 is an apocalyptic number.

408605796 is the 20214-th square number.

It is an amenable number.

408605796 is an abundant number, since it is smaller than the sum of its proper divisors (660522495).

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

408605796 is an equidigital number, since it uses as much as digits as its factorization.

408605796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2262 (or 1128 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The cubic root of 408605796 is about 742.0528559689.

It can be divided in two parts, 40860 and 5796, that added together give a 6-th power (46656 = 66).

The spelling of 408605796 in words is "four hundred eight million, six hundred five thousand, seven hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 1123 2246 3369 4492 6738 10107 13476 20214 30321 40428 60642 90963 121284 181926 363852 1261129 2522258 3783387 5044516 7566774 11350161 15133548 22700322 34050483 45400644 68100966 102151449 136201932 204302898 408605796