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57474 = 23231103
BaseRepresentation
bin1110000010000010
32220211200
432002002
53314344
61122030
7326364
oct160202
986750
1057474
113a1aa
1229316
1320211
1416d34
1512069
hexe082

57474 has 24 divisors (see below), whose sum is σ = 129792. Its totient is φ = 18360.

The previous prime is 57467. The next prime is 57487. The reversal of 57474 is 47475.

It is a congruent number.

It is an unprimeable number.

57474 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 507 + ... + 609.

It is an arithmetic number, because the mean of its divisors is an integer number (5408).

257474 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57474, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64896).

57474 is an abundant number, since it is smaller than the sum of its proper divisors (72318).

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

57474 is a wasteful number, since it uses less digits than its factorization.

57474 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 139 counting only the distinct ones).

The product of its digits is 3920, while the sum is 27.

The square root of 57474 is about 239.7373562881. The cubic root of 57474 is about 38.5913947188.

Subtracting from 57474 its reverse (47475), we obtain a palindrome (9999).

The spelling of 57474 in words is "fifty-seven thousand, four hundred seventy-four".

Divisors: 1 2 3 6 9 18 31 62 93 103 186 206 279 309 558 618 927 1854 3193 6386 9579 19158 28737 57474