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57427424 = 2519293257
BaseRepresentation
bin1101101100010…
…0010111100000
311000001121121122
43123010113200
5104200134144
65410511412
71265060615
oct333042740
9130047548
1057427424
112a46408a
1217295568
13bb89032
1478ac50c
1550957ee
hex36c45e0

57427424 has 48 divisors (see below), whose sum is σ = 123152400. Its totient is φ = 26256384.

The previous prime is 57427423. The next prime is 57427439. The reversal of 57427424 is 42472475.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57427423) 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, 16004 + ... + 19260.

It is an arithmetic number, because the mean of its divisors is an integer number (2565675).

Almost surely, 257427424 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 57427424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61576200).

57427424 is an abundant number, since it is smaller than the sum of its proper divisors (65724976).

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

57427424 is a wasteful number, since it uses less digits than its factorization.

57427424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3315 (or 3307 counting only the distinct ones).

The product of its digits is 62720, while the sum is 35.

The square root of 57427424 is about 7578.0884133137. The cubic root of 57427424 is about 385.8096728749.

Adding to 57427424 its reverse (42472475), we get a palindrome (99899899).

The spelling of 57427424 in words is "fifty-seven million, four hundred twenty-seven thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 19 29 32 38 58 76 116 152 232 304 464 551 608 928 1102 2204 3257 4408 6514 8816 13028 17632 26056 52112 61883 94453 104224 123766 188906 247532 377812 495064 755624 990128 1511248 1794607 1980256 3022496 3589214 7178428 14356856 28713712 57427424