Search a number
-
+
406166496 = 25319222679
BaseRepresentation
bin11000001101011…
…001101111100000
31001022021101200120
4120031121233200
51312434311441
6104145320240
713031233611
oct3015315740
91038241616
10406166496
111992a799a
12b4036080
13661c0308
143bd2bc08
15259d0966
hex18359be0

406166496 has 48 divisors (see below), whose sum is σ = 1122307200. Its totient is φ = 128262528.

The previous prime is 406166483. The next prime is 406166513. The reversal of 406166496 is 694661604.

It is a tau number, because it is divible by the number of its divisors (48).

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, 109516 + ... + 113163.

It is an arithmetic number, because the mean of its divisors is an integer number (23381400).

Almost surely, 2406166496 is an apocalyptic number.

It is an amenable number.

406166496 is an abundant number, since it is smaller than the sum of its proper divisors (716140704).

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

406166496 is a wasteful number, since it uses less digits than its factorization.

406166496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222711 (or 222703 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

The square root of 406166496 is about 20153.5727849927. The cubic root of 406166496 is about 740.5732689535.

The spelling of 406166496 in words is "four hundred six million, one hundred sixty-six thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 456 608 912 1824 222679 445358 668037 890716 1336074 1781432 2672148 3562864 4230901 5344296 7125728 8461802 10688592 12692703 16923604 21377184 25385406 33847208 50770812 67694416 101541624 135388832 203083248 406166496