Search a number
-
+
426933972 = 223237320521
BaseRepresentation
bin11001011100100…
…111111011010100
31002202100111022100
4121130213323110
51333243341342
6110210402100
713402610313
oct3134477324
91082314270
10426933972
111a9aa18a3
12bab90330
136a5b1b6a
14409b627a
1527733e4c
hex19727ed4

426933972 has 36 divisors (see below), whose sum is σ = 1108365076. Its totient is φ = 138464640.

The previous prime is 426933967. The next prime is 426933973. The reversal of 426933972 is 279339624.

It can be written as a sum of positive squares in 2 ways, for example, as 404975376 + 21958596 = 20124^2 + 4686^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (426933973) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 158929 + ... + 161592.

Almost surely, 2426933972 is an apocalyptic number.

It is an amenable number.

426933972 is an abundant number, since it is smaller than the sum of its proper divisors (681431104).

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

426933972 is a wasteful number, since it uses less digits than its factorization.

426933972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320568 (or 320563 counting only the distinct ones).

The product of its digits is 489888, while the sum is 45.

The square root of 426933972 is about 20662.3805985661. The cubic root of 426933972 is about 752.9860052530.

It can be divided in two parts, 42693 and 3972, that added together give a triangular number (46665 = T305).

The spelling of 426933972 in words is "four hundred twenty-six million, nine hundred thirty-three thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1332 320521 641042 961563 1282084 1923126 2884689 3846252 5769378 11538756 11859277 23718554 35577831 47437108 71155662 106733493 142311324 213466986 426933972