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54004968 = 233483341
BaseRepresentation
bin1100111000000…
…0110011101000
310202121201220000
43032000303220
5102311124333
65205303000
71224014613
oct316006350
9122551800
1054004968
1128536806
1216104a60
13b25b304
14725b17a
154b1b713
hex3380ce8

54004968 has 40 divisors (see below), whose sum is σ = 151265730. Its totient is φ = 18001440.

The previous prime is 54004963. The next prime is 54004969. The reversal of 54004968 is 86940045.

It can be written as a sum of positive squares in only one way, i.e., 35497764 + 18507204 = 5958^2 + 4302^2 .

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

It is not an unprimeable number, because it can be changed into a prime (54004963) by changing a digit.

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 9 ways as a sum of consecutive naturals, for example, 41023 + ... + 42318.

Almost surely, 254004968 is an apocalyptic number.

It is an amenable number.

54004968 is an abundant number, since it is smaller than the sum of its proper divisors (97260762).

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

54004968 is a wasteful number, since it uses less digits than its factorization.

54004968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83359 (or 83346 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 54004968 is about 7348.8072501597. The cubic root of 54004968 is about 377.9879058867.

The spelling of 54004968 in words is "fifty-four million, four thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 83341 166682 250023 333364 500046 666728 750069 1000092 1500138 2000184 2250207 3000276 4500414 6000552 6750621 9000828 13501242 18001656 27002484 54004968