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54684552 = 23313533307
BaseRepresentation
bin1101000010011…
…0101110001000
310210220021002210
43100212232020
5102444401202
65232025120
71232545116
oct320465610
9123807083
1054684552
112896034a
12163921a0
13b438730
147396ab6
154c02c6c
hex3426b88

54684552 has 64 divisors (see below), whose sum is σ = 150050880. Its totient is φ = 16503552.

The previous prime is 54684541. The next prime is 54684559. The reversal of 54684552 is 25548645.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 54684552.

It is not an unprimeable number, because it can be changed into a prime (54684559) 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 15 ways as a sum of consecutive naturals, for example, 14883 + ... + 18189.

It is an arithmetic number, because the mean of its divisors is an integer number (2344545).

Almost surely, 254684552 is an apocalyptic number.

54684552 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54684552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75025440).

54684552 is an abundant number, since it is smaller than the sum of its proper divisors (95366328).

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

54684552 is a wasteful number, since it uses less digits than its factorization.

54684552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3382 (or 3378 counting only the distinct ones).

The product of its digits is 192000, while the sum is 39.

The square root of 54684552 is about 7394.9004050088. The cubic root of 54684552 is about 379.5668008939.

The spelling of 54684552 in words is "fifty-four million, six hundred eighty-four thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 53 78 104 106 156 159 212 312 318 424 636 689 1272 1378 2067 2756 3307 4134 5512 6614 8268 9921 13228 16536 19842 26456 39684 42991 79368 85982 128973 171964 175271 257946 343928 350542 515892 525813 701084 1031784 1051626 1402168 2103252 2278523 4206504 4557046 6835569 9114092 13671138 18228184 27342276 54684552