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54383934 = 23112173433
BaseRepresentation
bin1100111101110…
…1010100111110
310210022222201210
43033131110332
5102410241214
65221345250
71230153513
oct317352476
9123288653
1054383934
1128775500
1216268226
13b361957
14731930a
154b93b59
hex33dd53e

54383934 has 48 divisors (see below), whose sum is σ = 120523536. Its totient is φ = 16346880.

The previous prime is 54383933. The next prime is 54383939. The reversal of 54383934 is 43938345.

It is a super-2 number, since 2×543839342 = 5915224554632712, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 54383892 and 54383901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54383933) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 125382 + ... + 125814.

It is an arithmetic number, because the mean of its divisors is an integer number (2510907).

Almost surely, 254383934 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54383934, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60261768).

54383934 is an abundant number, since it is smaller than the sum of its proper divisors (66139602).

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

54383934 is a wasteful number, since it uses less digits than its factorization.

54383934 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633 (or 622 counting only the distinct ones).

The product of its digits is 155520, while the sum is 39.

The square root of 54383934 is about 7374.5463589295. The cubic root of 54383934 is about 378.8699901931.

The spelling of 54383934 in words is "fifty-four million, three hundred eighty-three thousand, nine hundred thirty-four".

Divisors: 1 2 3 6 11 22 33 66 121 173 242 346 363 433 519 726 866 1038 1299 1903 2598 3806 4763 5709 9526 11418 14289 20933 28578 41866 52393 62799 74909 104786 125598 149818 157179 224727 314358 449454 823999 1647998 2471997 4943994 9063989 18127978 27191967 54383934