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54414324 = 22322952121
BaseRepresentation
bin1100111110010…
…0101111110100
310210101112102100
43033210233310
5102412224244
65222142100
71230341226
oct317445764
9123345370
1054414324
1128796318
1216281930
13b372733
147326416
154b9cb69
hex33e4bf4

54414324 has 36 divisors (see below), whose sum is σ = 142293060. Its totient is φ = 17512320.

The previous prime is 54414323. The next prime is 54414337. The reversal of 54414324 is 42341445.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 34433424 + 19980900 = 5868^2 + 4470^2 .

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

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54414323) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25017 + ... + 27104.

It is an arithmetic number, because the mean of its divisors is an integer number (3952585).

Almost surely, 254414324 is an apocalyptic number.

It is an amenable number.

54414324 is an abundant number, since it is smaller than the sum of its proper divisors (87878736).

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

54414324 is a wasteful number, since it uses less digits than its factorization.

54414324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52160 (or 52155 counting only the distinct ones).

The product of its digits is 7680, while the sum is 27.

The square root of 54414324 is about 7376.6065368840. The cubic root of 54414324 is about 378.9405485006.

Adding to 54414324 its reverse (42341445), we get a palindrome (96755769).

The spelling of 54414324 in words is "fifty-four million, four hundred fourteen thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 1044 52121 104242 156363 208484 312726 469089 625452 938178 1511509 1876356 3023018 4534527 6046036 9069054 13603581 18138108 27207162 54414324