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57412000 = 255331463
BaseRepresentation
bin1101101100000…
…0100110100000
311000000211110101
43123000212200
5104144141000
65410312144
71264664632
oct333004640
9130024411
1057412000
112a453538
1217288654
13bb81cc9
1478a6a52
155090e6a
hex36c09a0

57412000 has 96 divisors (see below), whose sum is σ = 145926144. Its totient is φ = 22176000.

The previous prime is 57411997. The next prime is 57412007. The reversal of 57412000 is 21475.

It is a super-2 number, since 2×574120002 = 6592275488000000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (57412007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 123769 + ... + 124231.

It is an arithmetic number, because the mean of its divisors is an integer number (1520064).

Almost surely, 257412000 is an apocalyptic number.

57412000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57412000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72963072).

57412000 is an abundant number, since it is smaller than the sum of its proper divisors (88514144).

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

57412000 is a wasteful number, since it uses less digits than its factorization.

57412000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 519 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 19.

The square root of 57412000 is about 7577.0706740798. The cubic root of 57412000 is about 385.7751292091.

Adding to 57412000 its reverse (21475), we get a palindrome (57433475).

The spelling of 57412000 in words is "fifty-seven million, four hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 31 32 40 50 62 80 100 124 125 155 160 200 248 250 310 400 463 496 500 620 775 800 926 992 1000 1240 1550 1852 2000 2315 2480 3100 3704 3875 4000 4630 4960 6200 7408 7750 9260 11575 12400 14353 14816 15500 18520 23150 24800 28706 31000 37040 46300 57412 57875 62000 71765 74080 92600 114824 115750 124000 143530 185200 229648 231500 287060 358825 370400 459296 463000 574120 717650 926000 1148240 1435300 1794125 1852000 2296480 2870600 3588250 5741200 7176500 11482400 14353000 28706000 57412000