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57208224 = 2531314549
BaseRepresentation
bin1101101000111…
…0110110100000
310222122110221010
43122032312200
5104121130344
65402100520
71263155553
oct332166640
9128573833
1057208224
112a324427
12171aa740
13bb10328
14785269a
1550508b9
hex368eda0

57208224 has 48 divisors (see below), whose sum is σ = 151351200. Its totient is φ = 18919680.

The previous prime is 57208211. The next prime is 57208231. The reversal of 57208224 is 42280275.

57208224 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 = 57208191 and 57208200.

It is an unprimeable number.

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, 10302 + ... + 14850.

It is an arithmetic number, because the mean of its divisors is an integer number (3153150).

Almost surely, 257208224 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 57208224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75675600).

57208224 is an abundant number, since it is smaller than the sum of its proper divisors (94142976).

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

57208224 is a wasteful number, since it uses less digits than its factorization.

57208224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4693 (or 4685 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 30.

The square root of 57208224 is about 7563.6118356246. The cubic root of 57208224 is about 385.3181695508.

Adding to 57208224 its reverse (42280275), we get a palindrome (99488499).

The spelling of 57208224 in words is "fifty-seven million, two hundred eight thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 131 262 393 524 786 1048 1572 2096 3144 4192 4549 6288 9098 12576 13647 18196 27294 36392 54588 72784 109176 145568 218352 436704 595919 1191838 1787757 2383676 3575514 4767352 7151028 9534704 14302056 19069408 28604112 57208224