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54961326 = 23273114071
BaseRepresentation
bin1101000110101…
…0010010101110
310211102022202200
43101222102232
5103032230301
65242002330
71235110050
oct321522256
9124368680
1054961326
112902a292
12164a63a6
13b5046c4
1474298d0
154c59c86
hex346a4ae

54961326 has 48 divisors (see below), whose sum is σ = 140494848. Its totient is φ = 15195600.

The previous prime is 54961321. The next prime is 54961337. The reversal of 54961326 is 62316945.

It is a happy number.

54961326 is nontrivially palindromic in base 5.

54961326 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54961321) 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 23 ways as a sum of consecutive naturals, for example, 3130 + ... + 10941.

It is an arithmetic number, because the mean of its divisors is an integer number (2926976).

Almost surely, 254961326 is an apocalyptic number.

54961326 is an abundant number, since it is smaller than the sum of its proper divisors (85533522).

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

54961326 is a wasteful number, since it uses less digits than its factorization.

54961326 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14117 (or 14114 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 54961326 is about 7413.5906280290. The cubic root of 54961326 is about 380.2060885794.

The spelling of 54961326 in words is "fifty-four million, nine hundred sixty-one thousand, three hundred twenty-six".

Divisors: 1 2 3 6 7 9 14 18 21 31 42 62 63 93 126 186 217 279 434 558 651 1302 1953 3906 14071 28142 42213 84426 98497 126639 196994 253278 295491 436201 590982 872402 886473 1308603 1772946 2617206 3053407 3925809 6106814 7851618 9160221 18320442 27480663 54961326