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54013344 = 2537117307
BaseRepresentation
bin1100111000001…
…0110110100000
310202122011101020
43032002312200
5102311411334
65205405440
71224051210
oct316026640
9122564336
1054013344
1128542030
1216109880
13b262078
147260240
154b1de49
hex3382da0

54013344 has 96 divisors (see below), whose sum is σ = 176795136. Its totient is φ = 14027520.

The previous prime is 54013343. The next prime is 54013367. The reversal of 54013344 is 44331045.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54013343) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3739 + ... + 11045.

It is an arithmetic number, because the mean of its divisors is an integer number (1841616).

Almost surely, 254013344 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 54013344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88397568).

54013344 is an abundant number, since it is smaller than the sum of its proper divisors (122781792).

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

54013344 is a wasteful number, since it uses less digits than its factorization.

54013344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7338 (or 7330 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 54013344 is about 7349.3771164637. The cubic root of 54013344 is about 378.0074464533.

Adding to 54013344 its reverse (44331045), we get a palindrome (98344389).

The spelling of 54013344 in words is "fifty-four million, thirteen thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 66 77 84 88 96 112 132 154 168 176 224 231 264 308 336 352 462 528 616 672 924 1056 1232 1848 2464 3696 7307 7392 14614 21921 29228 43842 51149 58456 80377 87684 102298 116912 153447 160754 175368 204596 233824 241131 306894 321508 350736 409192 482262 562639 613788 643016 701472 818384 964524 1125278 1227576 1286032 1636768 1687917 1929048 2250556 2455152 2572064 3375834 3858096 4501112 4910304 6751668 7716192 9002224 13503336 18004448 27006672 54013344