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531414054 = 23337475659
BaseRepresentation
bin11111101011001…
…011110000100110
31101000221122001000
4133223023300212
52042020222204
6124422014130
716111642053
oct3753136046
91330848030
10531414054
11252a73276
12129b77346
13861338b2
145081202a
15319c1039
hex1facbc26

531414054 has 64 divisors (see below), whose sum is σ = 1238860800. Its totient is φ = 168653664.

The previous prime is 531414049. The next prime is 531414061. The reversal of 531414054 is 450414135.

It is a happy number.

531414054 is a `hidden beast` number, since 531 + 41 + 40 + 54 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 91077 + ... + 96735.

It is an arithmetic number, because the mean of its divisors is an integer number (19357200).

Almost surely, 2531414054 is an apocalyptic number.

531414054 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 531414054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619430400).

531414054 is an abundant number, since it is smaller than the sum of its proper divisors (707446746).

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

531414054 is a wasteful number, since it uses less digits than its factorization.

531414054 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5754 (or 5748 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 531414054 is about 23052.4196994589. The cubic root of 531414054 is about 809.9863097823.

Adding to 531414054 its reverse (450414135), we get a palindrome (981828189).

The spelling of 531414054 in words is "five hundred thirty-one million, four hundred fourteen thousand, fifty-four".

Divisors: 1 2 3 6 9 18 27 37 47 54 74 94 111 141 222 282 333 423 666 846 999 1269 1739 1998 2538 3478 5217 5659 10434 11318 15651 16977 31302 33954 46953 50931 93906 101862 152793 209383 265973 305586 418766 531946 628149 797919 1256298 1595838 1884447 2393757 3768894 4787514 5653341 7181271 9841001 11306682 14362542 19682002 29523003 59046006 88569009 177138018 265707027 531414054