Search a number
-
+
54396342 = 232711133019
BaseRepresentation
bin1100111110000…
…0010110110110
310210100121202100
43033200112312
5102411140332
65221522530
71230234630
oct317402666
9123317670
1054396342
1128783860
1216273446
13b3674b0
14731da50
154b9767c
hex33e05b6

54396342 has 96 divisors (see below), whose sum is σ = 158296320. Its totient is φ = 13037760.

The previous prime is 54396337. The next prime is 54396347. The reversal of 54396342 is 24369345.

It is an interprime number because it is at equal distance from previous prime (54396337) and next prime (54396347).

It is a junction number, because it is equal to n+sod(n) for n = 54396297 and 54396306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54396347) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16509 + ... + 19527.

It is an arithmetic number, because the mean of its divisors is an integer number (1648920).

Almost surely, 254396342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54396342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79148160).

54396342 is an abundant number, since it is smaller than the sum of its proper divisors (103899978).

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

54396342 is a wasteful number, since it uses less digits than its factorization.

54396342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3058 (or 3055 counting only the distinct ones).

The product of its digits is 77760, while the sum is 36.

The square root of 54396342 is about 7375.3875830359. The cubic root of 54396342 is about 378.8988017742.

It can be divided in two parts, 5439 and 6342, that added together give a triangular number (11781 = T153).

The spelling of 54396342 in words is "fifty-four million, three hundred ninety-six thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 9 11 13 14 18 21 22 26 33 39 42 63 66 77 78 91 99 117 126 143 154 182 198 231 234 273 286 429 462 546 693 819 858 1001 1287 1386 1638 2002 2574 3003 3019 6006 6038 9009 9057 18018 18114 21133 27171 33209 39247 42266 54342 63399 66418 78494 99627 117741 126798 190197 199254 232463 235482 274729 298881 353223 380394 431717 464926 549458 597762 697389 706446 824187 863434 1295151 1394778 1648374 2092167 2472561 2590302 3022019 3885453 4184334 4945122 6044038 7770906 9066057 18132114 27198171 54396342