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428463774 = 232372113049
BaseRepresentation
bin11001100010011…
…101011010011110
31002212020012210200
4121202131122132
51334141320044
6110303244330
713421611344
oct3142353236
91085205720
10428463774
111aa9471a2
12bb5a96a6
136a9c927b
1440c93994
1527937369
hex1989d69e

428463774 has 48 divisors (see below), whose sum is σ = 958261200. Its totient is φ = 138257280.

The previous prime is 428463773. The next prime is 428463779. The reversal of 428463774 is 477364824.

428463774 is a `hidden beast` number, since 4 + 2 + 8 + 4 + 637 + 7 + 4 = 666.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428463773) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 139002 + ... + 142050.

It is an arithmetic number, because the mean of its divisors is an integer number (19963775).

Almost surely, 2428463774 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 428463774, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479130600).

428463774 is an abundant number, since it is smaller than the sum of its proper divisors (529797426).

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

428463774 is a wasteful number, since it uses less digits than its factorization.

428463774 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3305 (or 3302 counting only the distinct ones).

The product of its digits is 903168, while the sum is 45.

The square root of 428463774 is about 20699.3665120457. The cubic root of 428463774 is about 753.8843068180.

The spelling of 428463774 in words is "four hundred twenty-eight million, four hundred sixty-three thousand, seven hundred seventy-four".

Divisors: 1 2 3 6 9 18 37 74 111 211 222 333 422 633 666 1266 1899 3049 3798 6098 7807 9147 15614 18294 23421 27441 46842 54882 70263 112813 140526 225626 338439 643339 676878 1015317 1286678 1930017 2030634 3860034 5790051 11580102 23803543 47607086 71410629 142821258 214231887 428463774