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54004464 = 24321272953
BaseRepresentation
bin1100111000000…
…0101011110000
310202121201012100
43032000223300
5102311120324
65205300400
71224013263
oct316005360
9122551170
1054004464
1128536398
1216104700
13b25b007
14725acda
154b1b4c9
hex3380af0

54004464 has 60 divisors (see below), whose sum is σ = 152379136. Its totient is φ = 17853696.

The previous prime is 54004453. The next prime is 54004477. The reversal of 54004464 is 46440045.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16812 + ... + 19764.

Almost surely, 254004464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54004464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76189568).

54004464 is an abundant number, since it is smaller than the sum of its proper divisors (98374672).

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

54004464 is a wasteful number, since it uses less digits than its factorization.

54004464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3094 (or 3085 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 54004464 is about 7348.7729588007. The cubic root of 54004464 is about 377.9867300288.

The spelling of 54004464 in words is "fifty-four million, four thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 127 144 254 381 508 762 1016 1143 1524 2032 2286 2953 3048 4572 5906 6096 8859 9144 11812 17718 18288 23624 26577 35436 47248 53154 70872 106308 141744 212616 375031 425232 750062 1125093 1500124 2250186 3000248 3375279 4500372 6000496 6750558 9000744 13501116 18001488 27002232 54004464