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54983552 = 2713173191
BaseRepresentation
bin1101000110111…
…1101110000000
310211110110020212
43101233232000
5103033433202
65242253252
71235231621
oct321575600
9124413225
1054983552
1129044a58
12164b7228
13b511860
147433a48
154c61652
hex346fb80

54983552 has 64 divisors (see below), whose sum is σ = 119266560. Its totient is φ = 25098240.

The previous prime is 54983543. The next prime is 54983567. The reversal of 54983552 is 25538945.

54983552 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 287777 + ... + 287967.

It is an arithmetic number, because the mean of its divisors is an integer number (1863540).

Almost surely, 254983552 is an apocalyptic number.

54983552 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 54983552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59633280).

54983552 is an abundant number, since it is smaller than the sum of its proper divisors (64283008).

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

54983552 is a wasteful number, since it uses less digits than its factorization.

54983552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391 (or 379 counting only the distinct ones).

The product of its digits is 216000, while the sum is 41.

The square root of 54983552 is about 7415.0894802423. The cubic root of 54983552 is about 380.2573326225.

The spelling of 54983552 in words is "fifty-four million, nine hundred eighty-three thousand, five hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 173 191 208 346 382 416 692 764 832 1384 1528 1664 2249 2483 2768 3056 4498 4966 5536 6112 8996 9932 11072 12224 17992 19864 22144 24448 33043 35984 39728 66086 71968 79456 132172 143936 158912 264344 287872 317824 429559 528688 859118 1057376 1718236 2114752 3436472 4229504 6872944 13745888 27491776 54983552