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57327424 = 2671111633
BaseRepresentation
bin1101101010101…
…1111101000000
310222212112102221
43122223331000
5104133434144
65404420424
71264163230
oct332537500
9128775387
1057327424
112a3a5a40
1217247714
13bb5266b
147883cc0
155075d84
hex36abf40

57327424 has 56 divisors (see below), whose sum is σ = 141841728. Its totient is φ = 22333440.

The previous prime is 57327421. The next prime is 57327443. The reversal of 57327424 is 42472375.

It is a tau number, because it is divible by the number of its divisors (56).

It is a self number, because there is not a number n which added to its sum of digits gives 57327424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57327421) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 889 + ... + 10744.

It is an arithmetic number, because the mean of its divisors is an integer number (2532888).

Almost surely, 257327424 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 57327424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70920864).

57327424 is an abundant number, since it is smaller than the sum of its proper divisors (84514304).

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

57327424 is a wasteful number, since it uses less digits than its factorization.

57327424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11663 (or 11653 counting only the distinct ones).

The product of its digits is 47040, while the sum is 34.

The square root of 57327424 is about 7571.4875685033. The cubic root of 57327424 is about 385.5856023274.

Adding to 57327424 its reverse (42472375), we get a palindrome (99799799).

The spelling of 57327424 in words is "fifty-seven million, three hundred twenty-seven thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 154 176 224 308 352 448 616 704 1232 2464 4928 11633 23266 46532 81431 93064 127963 162862 186128 255926 325724 372256 511852 651448 744512 895741 1023704 1302896 1791482 2047408 2605792 3582964 4094816 5211584 7165928 8189632 14331856 28663712 57327424