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54034944 = 293127277
BaseRepresentation
bin1100111000100…
…0001000000000
310202200021000020
43032020020000
5102313104234
65210053440
71224201165
oct316101000
9122607006
1054034944
1128557287
121611a280
13b26bb52
14726806c
154b25549
hex3388200

54034944 has 80 divisors (see below), whose sum is σ = 145609728. Its totient is φ = 17805312.

The previous prime is 54034943. The next prime is 54034951. The reversal of 54034944 is 44943045.

It is not an unprimeable number, because it can be changed into a prime (54034943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 194934 + ... + 195210.

Almost surely, 254034944 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 54034944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72804864).

54034944 is an abundant number, since it is smaller than the sum of its proper divisors (91574784).

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

54034944 is a wasteful number, since it uses less digits than its factorization.

54034944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 54034944 is about 7350.8464818686. The cubic root of 54034944 is about 378.0578282793.

Adding to 54034944 its reverse (44943045), we get a palindrome (98977989).

The spelling of 54034944 in words is "fifty-four million, thirty-four thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 127 128 192 254 256 277 381 384 508 512 554 762 768 831 1016 1108 1524 1536 1662 2032 2216 3048 3324 4064 4432 6096 6648 8128 8864 12192 13296 16256 17728 24384 26592 32512 35179 35456 48768 53184 65024 70358 70912 97536 105537 106368 140716 141824 195072 211074 212736 281432 422148 425472 562864 844296 1125728 1688592 2251456 3377184 4502912 6754368 9005824 13508736 18011648 27017472 54034944