Search a number
-
+
409216128 = 2731065667
BaseRepresentation
bin11000011001000…
…010010010000000
31001112000022222220
4120121002102000
51314224404003
6104334531040
713066164636
oct3031022200
91045008886
10409216128
1119aaa0152
12b5066a80
1366a1a429
143c4c3356
1525dd4353
hex18642480

409216128 has 32 divisors (see below), whose sum is σ = 1086981360. Its totient is φ = 136405248.

The previous prime is 409216117. The next prime is 409216183. The reversal of 409216128 is 821612904.

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 532450 + ... + 533217.

Almost surely, 2409216128 is an apocalyptic number.

409216128 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

409216128 is an abundant number, since it is smaller than the sum of its proper divisors (677765232).

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

409216128 is a wasteful number, since it uses less digits than its factorization.

409216128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1065684 (or 1065672 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 409216128 is about 20229.0911313386. The cubic root of 409216128 is about 742.4221387819.

The spelling of 409216128 in words is "four hundred nine million, two hundred sixteen thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 1065667 2131334 3197001 4262668 6394002 8525336 12788004 17050672 25576008 34101344 51152016 68202688 102304032 136405376 204608064 409216128