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54541431 = 3472931107
BaseRepresentation
bin1101000000001…
…1110001110111
310210121222210000
43100003301313
5102430311211
65225002343
71231410630
oct320036167
9123558700
1054541431
112887286a
12163233b3
13b3b8549
14735a887
154bc5656
hex3403c77

54541431 has 80 divisors (see below), whose sum is σ = 100362240. Its totient is φ = 28848960.

The previous prime is 54541427. The next prime is 54541471. The reversal of 54541431 is 13414545.

It is a happy number.

54541431 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 54541431 - 22 = 54541427 is a prime.

It is a super-2 number, since 2×545414312 = 5949535391055522, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 54541395 and 54541404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54541471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 509680 + ... + 509786.

It is an arithmetic number, because the mean of its divisors is an integer number (1254528).

Almost surely, 254541431 is an apocalyptic number.

54541431 is a deficient number, since it is larger than the sum of its proper divisors (45820809).

54541431 is a wasteful number, since it uses less digits than its factorization.

54541431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 177 counting only the distinct ones).

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

The square root of 54541431 is about 7385.2170584215. The cubic root of 54541431 is about 379.2353761460.

Adding to 54541431 its reverse (13414545), we get a palindrome (67955976).

The spelling of 54541431 in words is "fifty-four million, five hundred forty-one thousand, four hundred thirty-one".

Divisors: 1 3 7 9 21 27 29 31 63 81 87 93 107 189 203 217 261 279 321 567 609 651 749 783 837 899 963 1827 1953 2247 2349 2511 2697 2889 3103 3317 5481 5859 6293 6741 8091 8667 9309 9951 16443 17577 18879 20223 21721 23219 24273 27927 29853 56637 60669 65163 69657 72819 83781 89559 96193 169911 195489 208971 251343 268677 288579 509733 586467 626913 673351 865737 1759401 1880739 2020053 2597211 6060159 7791633 18180477 54541431