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54301468 = 221317195361
BaseRepresentation
bin1100111100100…
…1001100011100
310210011210121111
43033021030130
5102400121333
65215511404
71226361214
oct317111434
9123153544
1054301468
1128719551
1216228564
13b333260
1472d7244
154b794cd
hex33c931c

54301468 has 96 divisors (see below), whose sum is σ = 118117440. Its totient is φ = 21565440.

The previous prime is 54301447. The next prime is 54301469. The reversal of 54301468 is 86410345.

It is a happy number.

54301468 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54301469) 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 31 ways as a sum of consecutive naturals, for example, 890158 + ... + 890218.

It is an arithmetic number, because the mean of its divisors is an integer number (1230390).

Almost surely, 254301468 is an apocalyptic number.

It is an amenable number.

54301468 is an abundant number, since it is smaller than the sum of its proper divisors (63815972).

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

54301468 is a wasteful number, since it uses less digits than its factorization.

54301468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The square root of 54301468 is about 7368.9529785445. The cubic root of 54301468 is about 378.6783913389.

The spelling of 54301468 in words is "fifty-four million, three hundred one thousand, four hundred sixty-eight".

Divisors: 1 2 4 13 17 19 26 34 38 52 53 61 68 76 106 122 212 221 244 247 323 442 494 646 689 793 884 901 988 1007 1037 1159 1292 1378 1586 1802 2014 2074 2318 2756 3172 3233 3604 4028 4148 4199 4636 6466 8398 11713 12932 13091 13481 15067 16796 17119 19703 23426 26182 26962 30134 34238 39406 42029 46852 52364 53924 54961 60268 61427 68476 78812 84058 109922 122854 168116 219844 222547 245708 256139 445094 512278 714493 798551 890188 1024556 1044259 1428986 1597102 2088518 2857972 3194204 4177036 13575367 27150734 54301468