Search a number
-
+
405616992 = 25311384107
BaseRepresentation
bin11000001011010…
…011100101100000
31001021020110220120
4120023103211200
51312314220432
6104125440240
713023454554
oct3013234540
91037213816
10405616992
11198a62060
12b3a10080
136605a171
143bc27864
1525922c2c
hex182d3960

405616992 has 48 divisors (see below), whose sum is σ = 1161542592. Its totient is φ = 122913920.

The previous prime is 405616973. The next prime is 405617021. The reversal of 405616992 is 299616504.

It is a happy number.

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, 190998 + ... + 193109.

It is an arithmetic number, because the mean of its divisors is an integer number (24198804).

Almost surely, 2405616992 is an apocalyptic number.

It is an amenable number.

405616992 is an abundant number, since it is smaller than the sum of its proper divisors (755925600).

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

405616992 is a wasteful number, since it uses less digits than its factorization.

405616992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384131 (or 384123 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 42.

The square root of 405616992 is about 20139.9352531233. The cubic root of 405616992 is about 740.2391435508.

The spelling of 405616992 in words is "four hundred five million, six hundred sixteen thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 384107 768214 1152321 1536428 2304642 3072856 4225177 4609284 6145712 8450354 9218568 12291424 12675531 16900708 18437136 25351062 33801416 36874272 50702124 67602832 101404248 135205664 202808496 405616992