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54164224 = 281731223
BaseRepresentation
bin1100111010011…
…1101100000000
310202220211100101
43032213230000
5102331223344
65212532144
71225250122
oct316475400
9122824311
1054164224
1128635424
1216181054
13b2b594a
14729d212
154b4d9d4
hex33a7b00

54164224 has 36 divisors (see below), whose sum is σ = 108830736. Its totient is φ = 26903552.

The previous prime is 54164221. The next prime is 54164291. The reversal of 54164224 is 42246145.

It is a junction number, because it is equal to n+sod(n) for n = 54164192 and 54164201.

It is not an unprimeable number, because it can be changed into a prime (54164221) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 43677 + ... + 44899.

It is an arithmetic number, because the mean of its divisors is an integer number (3023076).

Almost surely, 254164224 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 54164224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54415368).

54164224 is an abundant number, since it is smaller than the sum of its proper divisors (54666512).

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

54164224 is a wasteful number, since it uses less digits than its factorization.

54164224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1412 (or 1398 counting only the distinct ones).

The product of its digits is 7680, while the sum is 28.

The square root of 54164224 is about 7359.6347735469. The cubic root of 54164224 is about 378.3590925210.

The spelling of 54164224 in words is "fifty-four million, one hundred sixty-four thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 32 64 128 173 256 346 692 1223 1384 2446 2768 4892 5536 9784 11072 19568 22144 39136 44288 78272 156544 211579 313088 423158 846316 1692632 3385264 6770528 13541056 27082112 54164224