Search a number
-
+
54122424 = 233171091217
BaseRepresentation
bin1100111001110…
…1011110111000
310202211201000020
43032131132320
5102323404144
65212010440
71225014216
oct316353670
9122751006
1054122424
1128606a84
1216160a20
13b29c905
14728bcb6
154b41419
hex339d7b8

54122424 has 64 divisors (see below), whose sum is σ = 144698400. Its totient is φ = 16809984.

The previous prime is 54122389. The next prime is 54122429. The reversal of 54122424 is 42422145.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 54122394 and 54122403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54122429) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43864 + ... + 45080.

Almost surely, 254122424 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 54122424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72349200).

54122424 is an abundant number, since it is smaller than the sum of its proper divisors (90575976).

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

54122424 is a wasteful number, since it uses less digits than its factorization.

54122424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1352 (or 1348 counting only the distinct ones).

The product of its digits is 2560, while the sum is 24.

The square root of 54122424 is about 7356.7944106112. The cubic root of 54122424 is about 378.2617374833.

Adding to 54122424 its reverse (42422145), we get a palindrome (96544569).

The spelling of 54122424 in words is "fifty-four million, one hundred twenty-two thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 109 136 204 218 327 408 436 654 872 1217 1308 1853 2434 2616 3651 3706 4868 5559 7302 7412 9736 11118 14604 14824 20689 22236 29208 41378 44472 62067 82756 124134 132653 165512 248268 265306 397959 496536 530612 795918 1061224 1591836 2255101 3183672 4510202 6765303 9020404 13530606 18040808 27061212 54122424