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54064224 = 25321311433
BaseRepresentation
bin1100111000111…
…1010001100000
310202201202011200
43032033101200
5102320023344
65210441200
71224352434
oct316172140
9122652150
1054064224
1128577285
1216133200
13b27c286
1472749c4
154b2e069
hex338f460

54064224 has 72 divisors (see below), whose sum is σ = 155026872. Its totient is φ = 17871360.

The previous prime is 54064223. The next prime is 54064247. The reversal of 54064224 is 42246045.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54064223) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37012 + ... + 38444.

It is an arithmetic number, because the mean of its divisors is an integer number (2153151).

Almost surely, 254064224 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 54064224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77513436).

54064224 is an abundant number, since it is smaller than the sum of its proper divisors (100962648).

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

54064224 is a wasteful number, since it uses less digits than its factorization.

54064224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1580 (or 1569 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 54064224 is about 7352.8378195089. The cubic root of 54064224 is about 378.1261022120.

The spelling of 54064224 in words is "fifty-four million, sixty-four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 131 144 262 288 393 524 786 1048 1179 1433 1572 2096 2358 2866 3144 4192 4299 4716 5732 6288 8598 9432 11464 12576 12897 17196 18864 22928 25794 34392 37728 45856 51588 68784 103176 137568 187723 206352 375446 412704 563169 750892 1126338 1501784 1689507 2252676 3003568 3379014 4505352 6007136 6758028 9010704 13516056 18021408 27032112 54064224