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54934848 = 263410597
BaseRepresentation
bin1101000110001…
…1110101000000
310211100222110000
43101203311000
5103030403343
65241240000
71234636623
oct321436500
9124328400
1054934848
1129011401
1216493000
13b4c5637
14741ddba
154c51ed3
hex3463d40

54934848 has 70 divisors (see below), whose sum is σ = 162859466. Its totient is φ = 18309888.

The previous prime is 54934813. The next prime is 54934853. The reversal of 54934848 is 84843945.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 32353344 + 22581504 = 5688^2 + 4752^2 .

It is a super-3 number, since 3×549348483 (a number of 24 digits) contains 333 as substring.

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 9 ways as a sum of consecutive naturals, for example, 115 + ... + 10482.

Almost surely, 254934848 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 54934848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81429733).

54934848 is an abundant number, since it is smaller than the sum of its proper divisors (107924618).

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

54934848 is a wasteful number, since it uses less digits than its factorization.

54934848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10621 (or 10602 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 54934848 is about 7411.8046385479. The cubic root of 54934848 is about 380.1450231320.

The spelling of 54934848 in words is "fifty-four million, nine hundred thirty-four thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2592 5184 10597 21194 31791 42388 63582 84776 95373 127164 169552 190746 254328 286119 339104 381492 508656 572238 678208 762984 858357 1017312 1144476 1525968 1716714 2034624 2288952 3051936 3433428 4577904 6103872 6866856 9155808 13733712 18311616 27467424 54934848