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3889201008 = 2437112345751
BaseRepresentation
bin1110011111010000…
…0111111101110000
3101001001012212210210
43213310013331300
530431113413013
61441531024120
7165243443310
oct34764077560
911031185723
103889201008
111716397310
1290659b040
1349c999794
1428c751440
1517b68acc3
hexe7d07f70

3889201008 has 160 divisors (see below), whose sum is σ = 13071163392. Its totient is φ = 966240000.

The previous prime is 3889200941. The next prime is 3889201033. The reversal of 3889201008 is 8001029883.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62133 + ... + 107883.

Almost surely, 23889201008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3889201008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6535581696).

3889201008 is an abundant number, since it is smaller than the sum of its proper divisors (9181962384).

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

3889201008 is a wasteful number, since it uses less digits than its factorization.

3889201008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45803 (or 45797 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 39.

The square root of 3889201008 is about 62363.4589162596. The cubic root of 3889201008 is about 1572.6067299072.

The spelling of 3889201008 in words is "three billion, eight hundred eighty-nine million, two hundred one thousand, eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 23 24 28 33 42 44 46 48 56 66 69 77 84 88 92 112 132 138 154 161 168 176 184 231 253 264 276 308 322 336 368 462 483 506 528 552 616 644 759 924 966 1012 1104 1232 1288 1518 1771 1848 1932 2024 2576 3036 3542 3696 3864 4048 5313 6072 7084 7728 10626 12144 14168 21252 28336 42504 45751 85008 91502 137253 183004 274506 320257 366008 503261 549012 640514 732016 960771 1006522 1052273 1098024 1281028 1509783 1921542 2013044 2104546 2196048 2562056 3019566 3156819 3522827 3843084 4026088 4209092 5124112 6039132 6313638 7045654 7365911 7686168 8052176 8418184 10568481 11575003 12078264 12627276 14091308 14731822 15372336 16836368 21136962 22097733 23150006 24156528 25254552 28182616 29463644 34725009 42273924 44195466 46300012 50509104 56365232 58927288 69450018 81025021 84547848 88390932 92600024 117854576 138900036 162050042 169095696 176781864 185200048 243075063 277800072 324100084 353563728 486150126 555600144 648200168 972300252 1296400336 1944600504 3889201008