Search a number
-
+
54007434 = 232131491549
BaseRepresentation
bin1100111000000…
…1011010001010
310202121212021100
43032001122022
5102311214214
65205322230
71224025035
oct316013212
9122555240
1054007434
1128538648
1216106376
13b25c480
14725c01c
154b1c309
hex338168a

54007434 has 48 divisors (see below), whose sum is σ = 126945000. Its totient is φ = 16495488.

The previous prime is 54007423. The next prime is 54007439. The reversal of 54007434 is 43470045.

It can be written as a sum of positive squares in 4 ways, for example, as 21483225 + 32524209 = 4635^2 + 5703^2 .

It is a junction number, because it is equal to n+sod(n) for n = 54007398 and 54007407.

It is not an unprimeable number, because it can be changed into a prime (54007439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34092 + ... + 35640.

Almost surely, 254007434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54007434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63472500).

54007434 is an abundant number, since it is smaller than the sum of its proper divisors (72937566).

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

54007434 is a wasteful number, since it uses less digits than its factorization.

54007434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1719 (or 1716 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 54007434 is about 7348.9750305740. The cubic root of 54007434 is about 377.9936590857.

Adding to 54007434 its reverse (43470045), we get a palindrome (97477479).

The spelling of 54007434 in words is "fifty-four million, seven thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 149 234 298 447 894 1341 1549 1937 2682 3098 3874 4647 5811 9294 11622 13941 17433 20137 27882 34866 40274 60411 120822 181233 230801 362466 461602 692403 1384806 2077209 3000413 4154418 6000826 9001239 18002478 27003717 54007434