Search a number
-
+
427454724 = 223233314679
BaseRepresentation
bin11001011110100…
…111000100000100
31002210022221122110
4121132213010010
51333412022344
6110225501020
713410206454
oct3136470404
91083287573
10427454724
111aa318074
12bb1a1770
136a734bb8
1440aadd64
15277d83b9
hex197a7104

427454724 has 48 divisors (see below), whose sum is σ = 1044126720. Its totient is φ = 135849120.

The previous prime is 427454669. The next prime is 427454759.

427454724 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 89017 + ... + 93695.

It is an arithmetic number, because the mean of its divisors is an integer number (21752640).

Almost surely, 2427454724 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 427454724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522063360).

427454724 is an abundant number, since it is smaller than the sum of its proper divisors (616671996).

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

427454724 is a wasteful number, since it uses less digits than its factorization.

427454724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5040 (or 5038 counting only the distinct ones).

The product of its digits is 250880, while the sum is 39.

The square root of 427454724 is about 20674.9782103876. The cubic root of 427454724 is about 753.2920320027.

The spelling of 427454724 in words is "four hundred twenty-seven million, four hundred fifty-four thousand, seven hundred twenty-four".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 276 331 662 993 1324 1986 3972 4679 7613 9358 14037 15226 18716 22839 28074 30452 45678 56148 91356 107617 215234 322851 430468 645702 1291404 1548749 3097498 4646247 6194996 9292494 18584988 35621227 71242454 106863681 142484908 213727362 427454724