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54709434 = 23213172809
BaseRepresentation
bin1101000010110…
…0110010111010
310210221112020100
43100230302322
5103001200214
65232340230
71233010503
oct320546272
9123845210
1054709434
112897800a
12163a4676
13b446b60
1473a1baa
154c0a309
hex342ccba

54709434 has 72 divisors (see below), whose sum is σ = 135773820. Its totient is φ = 15823872.

The previous prime is 54709423. The next prime is 54709463. The reversal of 54709434 is 43490745.

54709434 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 43520409 + 11189025 = 6597^2 + 3345^2 .

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 67222 + ... + 68030.

Almost surely, 254709434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54709434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67886910).

54709434 is an abundant number, since it is smaller than the sum of its proper divisors (81064386).

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

54709434 is a wasteful number, since it uses less digits than its factorization.

54709434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 864 (or 844 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 54709434 is about 7396.5825892773. The cubic root of 54709434 is about 379.6243610196.

The spelling of 54709434 in words is "fifty-four million, seven hundred nine thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 13 17 18 26 34 39 51 78 102 117 153 221 234 289 306 442 578 663 809 867 1326 1618 1734 1989 2427 2601 3757 3978 4854 5202 7281 7514 10517 11271 13753 14562 21034 22542 27506 31551 33813 41259 63102 67626 82518 94653 123777 178789 189306 233801 247554 357578 467602 536367 701403 1072734 1402806 1609101 2104209 3039413 3218202 4208418 6078826 9118239 18236478 27354717 54709434