Search a number
-
+
57381345 = 3357411481
BaseRepresentation
bin1101101011100…
…1000111100001
310222222021102000
43122321013201
5104142200340
65405514213
71264506360
oct332710741
9128867360
1057381345
112a4324aa
1217272969
13bb71078
1478997d7
155086d30
hex36b91e1

57381345 has 64 divisors (see below), whose sum is σ = 119508480. Its totient is φ = 25574400.

The previous prime is 57381329. The next prime is 57381353. The reversal of 57381345 is 54318375.

57381345 is a `hidden beast` number, since 573 + 81 + 3 + 4 + 5 = 666.

It is not a de Polignac number, because 57381345 - 24 = 57381329 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38005 + ... + 39485.

It is an arithmetic number, because the mean of its divisors is an integer number (1867320).

Almost surely, 257381345 is an apocalyptic number.

It is an amenable number.

57381345 is an abundant number, since it is smaller than the sum of its proper divisors (62127135).

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

57381345 is a wasteful number, since it uses less digits than its factorization.

57381345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1543 (or 1537 counting only the distinct ones).

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

The square root of 57381345 is about 7575.0475246034. The cubic root of 57381345 is about 385.7064557493.

It can be divided in two parts, 573 and 81345, that added together give a palindrome (81918).

The spelling of 57381345 in words is "fifty-seven million, three hundred eighty-one thousand, three hundred forty-five".

Divisors: 1 3 5 7 9 15 21 27 35 41 45 63 105 123 135 189 205 287 315 369 615 861 945 1107 1435 1481 1845 2583 4305 4443 5535 7405 7749 10367 12915 13329 22215 31101 38745 39987 51835 60721 66645 93303 155505 182163 199935 279909 303605 425047 466515 546489 910815 1275141 1399545 1639467 2125235 2732445 3825423 6375705 8197335 11476269 19127115 57381345