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57540224 = 277149431
BaseRepresentation
bin1101101101111…
…1111010000000
311000021100100102
43123133322000
5104212241344
65413141532
71266040520
oct333377200
9130240312
1057540224
112a530905
121732a8a8
13bbc8491
1478db680
1550b8e4e
hex36dfe80

57540224 has 64 divisors (see below), whose sum is σ = 132192000. Its totient is φ = 24437760.

The previous prime is 57540221. The next prime is 57540239. The reversal of 57540224 is 42204575.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (57540221) 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, 133289 + ... + 133719.

It is an arithmetic number, because the mean of its divisors is an integer number (2065500).

Almost surely, 257540224 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 57540224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66096000).

57540224 is an abundant number, since it is smaller than the sum of its proper divisors (74651776).

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

57540224 is a wasteful number, since it uses less digits than its factorization.

57540224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601 (or 589 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 29.

The square root of 57540224 is about 7585.5272723786. The cubic root of 57540224 is about 386.0621124778.

Adding to 57540224 its reverse (42204575), we get a palindrome (99744799).

The spelling of 57540224 in words is "fifty-seven million, five hundred forty thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 149 224 298 431 448 596 862 896 1043 1192 1724 2086 2384 3017 3448 4172 4768 6034 6896 8344 9536 12068 13792 16688 19072 24136 27584 33376 48272 55168 64219 66752 96544 128438 133504 193088 256876 386176 449533 513752 899066 1027504 1798132 2055008 3596264 4110016 7192528 8220032 14385056 28770112 57540224