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3897009900 = 2233527206191
BaseRepresentation
bin1110100001000111…
…1010011011101100
3101001120220121121000
43220101322123230
530440113304100
61442410240300
7165400015620
oct35021723354
911046817530
103897009900
11171a840243
12909126090
134a14a1c24
1428d7c5180
1517c1ce900
hexe847a6ec

3897009900 has 144 divisors (see below), whose sum is σ = 14317972480. Its totient is φ = 890740800.

The previous prime is 3897009889. The next prime is 3897009911. The reversal of 3897009900 is 99007983.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3897009889) and next prime (3897009911).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 84196 + ... + 121995.

Almost surely, 23897009900 is an apocalyptic number.

3897009900 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3897009900 is an abundant number, since it is smaller than the sum of its proper divisors (10420962580).

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

3897009900 is a wasteful number, since it uses less digits than its factorization.

3897009900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206221 (or 206208 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The square root of 3897009900 is about 62426.0354339437. The cubic root of 3897009900 is about 1573.6585403154.

The spelling of 3897009900 in words is "three billion, eight hundred ninety-seven million, nine thousand, nine hundred".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 25 27 28 30 35 36 42 45 50 54 60 63 70 75 84 90 100 105 108 126 135 140 150 175 180 189 210 225 252 270 300 315 350 378 420 450 525 540 630 675 700 756 900 945 1050 1260 1350 1575 1890 2100 2700 3150 3780 4725 6300 9450 18900 206191 412382 618573 824764 1030955 1237146 1443337 1855719 2061910 2474292 2886674 3092865 3711438 4123820 4330011 5154775 5567157 5773348 6185730 7216685 7422876 8660022 9278595 10309550 11134314 12371460 12990033 14433370 15464325 17320044 18557190 20619100 21650055 22268628 25980066 27835785 28866740 30928650 36083425 37114380 38970099 43300110 46392975 51960132 55671570 61857300 64950165 72166850 77940198 86600220 92785950 108250275 111343140 129900330 139178925 144333700 155880396 185571900 194850495 216500550 259800660 278357850 324750825 389700990 433001100 556715700 649501650 779401980 974252475 1299003300 1948504950 3897009900