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57145338 = 235313793
BaseRepresentation
bin1101100111111…
…1011111111010
310222112021200000
43121333133322
5104112122323
65400453430
71262504325
oct331773772
9128467600
1057145338
112a291158
121717a276
13baba813
1478377bc
15503be43
hex367f7fa

57145338 has 48 divisors (see below), whose sum is σ = 132577536. Its totient is φ = 18429120.

The previous prime is 57145337. The next prime is 57145351. The reversal of 57145338 is 83354175.

57145338 is a `hidden beast` number, since 571 + 4 + 53 + 38 = 666.

It is not an unprimeable number, because it can be changed into a prime (57145337) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13170 + ... + 16962.

It is an arithmetic number, because the mean of its divisors is an integer number (2762032).

Almost surely, 257145338 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57145338, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66288768).

57145338 is an abundant number, since it is smaller than the sum of its proper divisors (75432198).

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

57145338 is a wasteful number, since it uses less digits than its factorization.

57145338 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3841 (or 3829 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 57145338 is about 7559.4535516795. The cubic root of 57145338 is about 385.1769311017.

The spelling of 57145338 in words is "fifty-seven million, one hundred forty-five thousand, three hundred thirty-eight".

Divisors: 1 2 3 6 9 18 27 31 54 62 81 93 162 186 243 279 486 558 837 1674 2511 3793 5022 7533 7586 11379 15066 22758 34137 68274 102411 117583 204822 235166 307233 352749 614466 705498 921699 1058247 1843398 2116494 3174741 6349482 9524223 19048446 28572669 57145338