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55242324 = 2234533217
BaseRepresentation
bin1101001010111…
…0111001010100
310211221121020000
43102232321110
5103120223244
65252011300
71240360224
oct322567124
9124847200
1055242324
1129201415
1216600b30
13b5a2587
1474a0084
154cb3169
hex34aee54

55242324 has 60 divisors (see below), whose sum is σ = 147184884. Its totient is φ = 18061056.

The previous prime is 55242323. The next prime is 55242337. The reversal of 55242324 is 42324255.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 45319824 + 9922500 = 6732^2 + 3150^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55242323) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 15564 + ... + 18780.

Almost surely, 255242324 is an apocalyptic number.

55242324 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55242324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73592442).

55242324 is an abundant number, since it is smaller than the sum of its proper divisors (91942560).

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

55242324 is a wasteful number, since it uses less digits than its factorization.

55242324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3286 (or 3275 counting only the distinct ones).

The product of its digits is 9600, while the sum is 27.

The square root of 55242324 is about 7432.5180120872. The cubic root of 55242324 is about 380.8529409512.

Adding to 55242324 its reverse (42324255), we get a palindrome (97566579).

The spelling of 55242324 in words is "fifty-five million, two hundred forty-two thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 53 54 81 106 108 159 162 212 318 324 477 636 954 1431 1908 2862 3217 4293 5724 6434 8586 9651 12868 17172 19302 28953 38604 57906 86859 115812 170501 173718 260577 341002 347436 511503 521154 682004 1023006 1042308 1534509 2046012 3069018 4603527 6138036 9207054 13810581 18414108 27621162 55242324