[go: up one dir, main page]

Search a number
-
+
54131532 = 223713192609
BaseRepresentation
bin1100111001111…
…1101101001100
310202212011111120
43032133231030
5102324202112
65212120540
71225052610
oct316375514
9122764446
1054131532
1128612904
1216166150
13b2a3ac0
147291340
154b43e8c
hex339fb4c

54131532 has 96 divisors (see below), whose sum is σ = 163699200. Its totient is φ = 13519872.

The previous prime is 54131531. The next prime is 54131557. The reversal of 54131532 is 23513145.

It is not an unprimeable number, because it can be changed into a prime (54131531) 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, 19444 + ... + 22052.

It is an arithmetic number, because the mean of its divisors is an integer number (1705200).

Almost surely, 254131532 is an apocalyptic number.

54131532 is a gapful number since it is divisible by the number (52) 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 54131532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81849600).

54131532 is an abundant number, since it is smaller than the sum of its proper divisors (109567668).

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

54131532 is a wasteful number, since it uses less digits than its factorization.

54131532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2655 (or 2653 counting only the distinct ones).

The product of its digits is 1800, while the sum is 24.

The square root of 54131532 is about 7357.4134041795. The cubic root of 54131532 is about 378.2829549037.

Adding to 54131532 its reverse (23513145), we get a palindrome (77644677).

The spelling of 54131532 in words is "fifty-four million, one hundred thirty-one thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 13 14 19 21 26 28 38 39 42 52 57 76 78 84 91 114 133 156 182 228 247 266 273 364 399 494 532 546 741 798 988 1092 1482 1596 1729 2609 2964 3458 5187 5218 6916 7827 10374 10436 15654 18263 20748 31308 33917 36526 49571 54789 67834 73052 99142 101751 109578 135668 148713 198284 203502 219156 237419 297426 346997 407004 474838 594852 644423 693994 712257 949676 1040991 1288846 1387988 1424514 1933269 2081982 2577692 2849028 3866538 4163964 4510961 7733076 9021922 13532883 18043844 27065766 54131532