Search a number
-
+
54362224 = 2476173109
BaseRepresentation
bin1100111101100…
…0000001110000
310210021212221201
43033120001300
5102404042344
65221100544
71230033310
oct317300160
9123255851
1054362224
1128760164
1216257754
13b354ac7
147311440
154b8c4d4
hex33d8070

54362224 has 80 divisors (see below), whose sum is σ = 125160640. Its totient is φ = 22394880.

The previous prime is 54362207. The next prime is 54362227. The reversal of 54362224 is 42226345.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 54362192 and 54362201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54362227) 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 15 ways as a sum of consecutive naturals, for example, 498682 + ... + 498790.

It is an arithmetic number, because the mean of its divisors is an integer number (1564508).

Almost surely, 254362224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54362224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62580320).

54362224 is an abundant number, since it is smaller than the sum of its proper divisors (70798416).

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

54362224 is a wasteful number, since it uses less digits than its factorization.

54362224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 252 counting only the distinct ones).

The product of its digits is 11520, while the sum is 28.

The square root of 54362224 is about 7373.0742570518. The cubic root of 54362224 is about 378.8195686708.

Adding to 54362224 its reverse (42226345), we get a palindrome (96588569).

The spelling of 54362224 in words is "fifty-four million, three hundred sixty-two thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 56 61 73 109 112 122 146 218 244 292 427 436 488 511 584 763 854 872 976 1022 1168 1526 1708 1744 2044 3052 3416 4088 4453 6104 6649 6832 7957 8176 8906 12208 13298 15914 17812 26596 31171 31828 35624 46543 53192 55699 62342 63656 71248 93086 106384 111398 124684 127312 186172 222796 249368 372344 445592 485377 498736 744688 891184 970754 1941508 3397639 3883016 6795278 7766032 13590556 27181112 54362224