Search a number
-
+
531542844 = 223371933643
BaseRepresentation
bin11111101011101…
…011001100111100
31101001012011201000
4133223223030330
52042033332334
6124424450300
716113016410
oct3753531474
91331164630
10531542844
11253051008
1212a019990
138617a3c1
1450846d40
15319e9299
hex1faeb33c

531542844 has 96 divisors (see below), whose sum is σ = 1583536640. Its totient is φ = 151041024.

The previous prime is 531542821. The next prime is 531542861. The reversal of 531542844 is 448245135.

It is a happy number.

531542844 is a `hidden beast` number, since 5 + 31 + 542 + 84 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 531542799 and 531542808.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 144087 + ... + 147729.

Almost surely, 2531542844 is an apocalyptic number.

531542844 is a gapful number since it is divisible by the number (54) 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 531542844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (791768320).

531542844 is an abundant number, since it is smaller than the sum of its proper divisors (1051993796).

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

531542844 is a wasteful number, since it uses less digits than its factorization.

531542844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3856 (or 3848 counting only the distinct ones).

The product of its digits is 76800, while the sum is 36.

The square root of 531542844 is about 23055.2129463165. The cubic root of 531542844 is about 810.0517388076.

Adding to 531542844 its reverse (448245135), we get a palindrome (979787979).

The spelling of 531542844 in words is "five hundred thirty-one million, five hundred forty-two thousand, eight hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 193 252 378 386 579 756 772 1158 1351 1737 2316 2702 3474 3643 4053 5211 5404 6948 7286 8106 10422 10929 12159 14572 16212 20844 21858 24318 25501 32787 36477 43716 48636 51002 65574 72954 76503 98361 102004 131148 145908 153006 196722 229509 306012 393444 459018 688527 703099 918036 1377054 1406198 2109297 2754108 2812396 4218594 4921693 6327891 8437188 9843386 12655782 14765079 18983673 19686772 25311564 29530158 37967346 44295237 59060316 75934692 88590474 132885711 177180948 265771422 531542844