Search a number
-
+
428554984 = 2311131033637
BaseRepresentation
bin11001100010110…
…011101011101000
31002212101211220211
4121202303223220
51334202224414
6110305230504
713422441304
oct3142635350
91085354824
10428554984
111aa9a9780
12bb632434
136aa2b940
1440cb8d04
15279543c4
hex198b3ae8

428554984 has 64 divisors (see below), whose sum is σ = 953447040. Its totient is φ = 178018560.

The previous prime is 428554957. The next prime is 428555003. The reversal of 428554984 is 489455824.

It is a super-2 number, since 2×4285549842 = 367318748622480512, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 116014 + ... + 119650.

It is an arithmetic number, because the mean of its divisors is an integer number (14897610).

Almost surely, 2428554984 is an apocalyptic number.

428554984 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 428554984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476723520).

428554984 is an abundant number, since it is smaller than the sum of its proper divisors (524892056).

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

428554984 is a wasteful number, since it uses less digits than its factorization.

428554984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3770 (or 3766 counting only the distinct ones).

The product of its digits is 1843200, while the sum is 49.

The square root of 428554984 is about 20701.5696023273. The cubic root of 428554984 is about 753.9377978505.

The spelling of 428554984 in words is "four hundred twenty-eight million, five hundred fifty-four thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 11 13 22 26 44 52 88 103 104 143 206 286 412 572 824 1133 1144 1339 2266 2678 3637 4532 5356 7274 9064 10712 14548 14729 29096 29458 40007 47281 58916 80014 94562 117832 160028 189124 320056 374611 378248 520091 749222 1040182 1498444 2080364 2996888 4120721 4160728 4869943 8241442 9739886 16482884 19479772 32965768 38959544 53569373 107138746 214277492 428554984