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57690000 = 243254641
BaseRepresentation
bin1101110000010…
…0011110010000
311000112221210200
43130010132100
5104232040000
65420255200
71300233264
oct334043620
9130487720
1057690000
112a623395
12173a1500
13bc4b6c4
14793a0a4
1550e8500
hex3704790

57690000 has 150 divisors (see below), whose sum is σ = 202065006. Its totient is φ = 15360000.

The previous prime is 57689999. The next prime is 57690011. The reversal of 57690000 is 9675.

57690000 is a `hidden beast` number, since 576 + 90 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 10575504 + 47114496 = 3252^2 + 6864^2 .

It is a tau number, because it is divible by the number of its divisors (150).

It is a super-2 number, since 2×576900002 = 6656272200000000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 89680 + ... + 90320.

Almost surely, 257690000 is an apocalyptic number.

57690000 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 57690000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101032503).

57690000 is an abundant number, since it is smaller than the sum of its proper divisors (144375006).

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

57690000 is a wasteful number, since it uses less digits than its factorization.

57690000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 675 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 57690000 is about 7595.3933407033. The cubic root of 57690000 is about 386.3967927926.

Adding to 57690000 its reverse (9675), we get a palindrome (57699675).

It can be divided in two parts, 576 and 90000, that multiplied together give a square (51840000 = 72002).

The spelling of 57690000 in words is "fifty-seven million, six hundred ninety thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 125 144 150 180 200 225 240 250 300 360 375 400 450 500 600 625 641 720 750 900 1000 1125 1200 1250 1282 1500 1800 1875 1923 2000 2250 2500 2564 3000 3205 3600 3750 3846 4500 5000 5128 5625 5769 6000 6410 7500 7692 9000 9615 10000 10256 11250 11538 12820 15000 15384 16025 18000 19230 22500 23076 25640 28845 30000 30768 32050 38460 45000 46152 48075 51280 57690 64100 76920 80125 90000 92304 96150 115380 128200 144225 153840 160250 192300 230760 240375 256400 288450 320500 384600 400625 461520 480750 576900 641000 721125 769200 801250 961500 1153800 1201875 1282000 1442250 1602500 1923000 2307600 2403750 2884500 3205000 3605625 3846000 4807500 5769000 6410000 7211250 9615000 11538000 14422500 19230000 28845000 57690000