Search a number
-
+
426261704 = 231122691637
BaseRepresentation
bin11001011010000…
…011110011001000
31002201002100010112
4121122003303020
51333110333304
6110144133452
713364110331
oct3132036310
91081070115
10426261704
111a9682800
12ba907288
136a407b7b
144087d288
152764eb6e
hex19683cc8

426261704 has 48 divisors (see below), whose sum is σ = 882308700. Its totient is φ = 192917120.

The previous prime is 426261701. The next prime is 426261739. The reversal of 426261704 is 407162624.

It can be written as a sum of positive squares in 2 ways, for example, as 302829604 + 123432100 = 17402^2 + 11110^2 .

It is not an unprimeable number, because it can be changed into a prime (426261701) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 259574 + ... + 261210.

Almost surely, 2426261704 is an apocalyptic number.

426261704 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 426261704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441154350).

426261704 is an abundant number, since it is smaller than the sum of its proper divisors (456046996).

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

426261704 is a wasteful number, since it uses less digits than its factorization.

426261704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1934 (or 1919 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The square root of 426261704 is about 20646.1062672844. The cubic root of 426261704 is about 752.5905699238.

The spelling of 426261704 in words is "four hundred twenty-six million, two hundred sixty-one thousand, seven hundred four".

Divisors: 1 2 4 8 11 22 44 88 121 242 269 484 538 968 1076 1637 2152 2959 3274 5918 6548 11836 13096 18007 23672 32549 36014 65098 72028 130196 144056 198077 260392 396154 440353 792308 880706 1584616 1761412 3522824 4843883 9687766 19375532 38751064 53282713 106565426 213130852 426261704