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54949344 = 2531274507
BaseRepresentation
bin1101000110011…
…1010111100000
310211101201022220
43101213113200
5103031334334
65241431040
71235030112
oct321472740
9124351286
1054949344
112902128a
121649b480
13b4cc108
1474253b2
154c56449
hex34675e0

54949344 has 48 divisors (see below), whose sum is σ = 145410048. Its totient is φ = 18168192.

The previous prime is 54949343. The next prime is 54949357. The reversal of 54949344 is 44394945.

54949344 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 (48).

It is a junction number, because it is equal to n+sod(n) for n = 54949296 and 54949305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54949343) by changing a digit.

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, 9939 + ... + 14445.

It is an arithmetic number, because the mean of its divisors is an integer number (3029376).

Almost surely, 254949344 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 54949344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72705024).

54949344 is an abundant number, since it is smaller than the sum of its proper divisors (90460704).

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

54949344 is a wasteful number, since it uses less digits than its factorization.

54949344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4647 (or 4639 counting only the distinct ones).

The product of its digits is 311040, while the sum is 42.

The square root of 54949344 is about 7412.7824735385. The cubic root of 54949344 is about 380.1784572686.

The spelling of 54949344 in words is "fifty-four million, nine hundred forty-nine thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 127 254 381 508 762 1016 1524 2032 3048 4064 4507 6096 9014 12192 13521 18028 27042 36056 54084 72112 108168 144224 216336 432672 572389 1144778 1717167 2289556 3434334 4579112 6868668 9158224 13737336 18316448 27474672 54949344