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54308436 = 223713411213
BaseRepresentation
bin1100111100101…
…0111001010100
310210012011011120
43033022321110
5102400332221
65220003540
71226420430
oct317127124
9123164146
1054308436
1128723806
12162305b0
13b336490
1472d99c0
154b7b5c6
hex33cae54

54308436 has 96 divisors (see below), whose sum is σ = 159898368. Its totient is φ = 13962240.

The previous prime is 54308417. The next prime is 54308437. The reversal of 54308436 is 63480345.

It is a junction number, because it is equal to n+sod(n) for n = 54308397 and 54308406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54308437) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44166 + ... + 45378.

It is an arithmetic number, because the mean of its divisors is an integer number (1665608).

Almost surely, 254308436 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 54308436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79949184).

54308436 is an abundant number, since it is smaller than the sum of its proper divisors (105589932).

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

54308436 is a wasteful number, since it uses less digits than its factorization.

54308436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1281 (or 1279 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 54308436 is about 7369.4257578186. The cubic root of 54308436 is about 378.6945880660.

The spelling of 54308436 in words is "fifty-four million, three hundred eight thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 41 42 52 78 82 84 91 123 156 164 182 246 273 287 364 492 533 546 574 861 1066 1092 1148 1213 1599 1722 2132 2426 3198 3444 3639 3731 4852 6396 7278 7462 8491 11193 14556 14924 15769 16982 22386 25473 31538 33964 44772 47307 49733 50946 63076 94614 99466 101892 110383 149199 189228 198932 220766 298398 331149 348131 441532 596796 646529 662298 696262 1044393 1293058 1324596 1392524 1939587 2088786 2586116 3879174 4177572 4525703 7758348 9051406 13577109 18102812 27154218 54308436