Search a number
-
+
409103696 = 24291515839
BaseRepresentation
bin11000011000100…
…110110101010000
31001111210121202202
4120120212311100
51314212304241
6104332302332
713065216101
oct3030466520
91044717682
10409103696
1119aa23731
12b50119a8
13669ab1c1
143c4943a8
1525db0d9b
hex18626d50

409103696 has 40 divisors (see below), whose sum is σ = 825542400. Its totient is φ = 196156800.

The previous prime is 409103671. The next prime is 409103711. The reversal of 409103696 is 696301904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 67145 + ... + 72983.

It is an arithmetic number, because the mean of its divisors is an integer number (20638560).

Almost surely, 2409103696 is an apocalyptic number.

409103696 is the 11678-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 409103696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412771200).

409103696 is an abundant number, since it is smaller than the sum of its proper divisors (416438704).

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

409103696 is a wasteful number, since it uses less digits than its factorization.

409103696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6027 (or 6021 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 38.

The square root of 409103696 is about 20226.3119722801. The cubic root of 409103696 is about 742.3541391390.

The spelling of 409103696 in words is "four hundred nine million, one hundred three thousand, six hundred ninety-six".

Divisors: 1 2 4 8 16 29 58 116 151 232 302 464 604 1208 2416 4379 5839 8758 11678 17516 23356 35032 46712 70064 93424 169331 338662 677324 881689 1354648 1763378 2709296 3526756 7053512 14107024 25568981 51137962 102275924 204551848 409103696