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54503424 = 211322957
BaseRepresentation
bin1100111111101…
…0100000000000
310210120001122100
43033322200000
5102423102144
65224110400
71231162053
oct317724000
9123501570
1054503424
1128847258
1216305400
13b3a4161
14734aa9a
154bb9269
hex33fa800

54503424 has 72 divisors (see below), whose sum is σ = 157469130. Its totient is φ = 18161664.

The previous prime is 54503417. The next prime is 54503459. The reversal of 54503424 is 42430545.

It can be written as a sum of positive squares in only one way, i.e., 51840000 + 2663424 = 7200^2 + 1632^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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 5 ways as a sum of consecutive naturals, for example, 16954 + ... + 19910.

Almost surely, 254503424 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 54503424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78734565).

54503424 is an abundant number, since it is smaller than the sum of its proper divisors (102965706).

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

54503424 is a wasteful number, since it uses less digits than its factorization.

54503424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2985 (or 2962 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

The square root of 54503424 is about 7382.6434290165. The cubic root of 54503424 is about 379.1472660739.

Adding to 54503424 its reverse (42430545), we get a palindrome (96933969).

The spelling of 54503424 in words is "fifty-four million, five hundred three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2048 2304 2957 3072 4608 5914 6144 8871 9216 11828 17742 18432 23656 26613 35484 47312 53226 70968 94624 106452 141936 189248 212904 283872 378496 425808 567744 756992 851616 1135488 1513984 1703232 2270976 3027968 3406464 4541952 6055936 6812928 9083904 13625856 18167808 27251712 54503424