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3839985000 = 23325485333
BaseRepresentation
bin1110010011100001…
…1000010101101000
3100220121121110010200
43210320120111220
530331014010000
61433012112200
7164105222355
oct34470302550
910817543120
103839985000
1116a0631625
128b2005660
13492727197
14285dbd62c
151771b8500
hexe4e18568

3839985000 has 120 divisors (see below), whose sum is σ = 12995941530. Its totient is φ = 1023984000.

The previous prime is 3839984963. The next prime is 3839985029. The reversal of 3839985000 is 5899383.

It can be written as a sum of positive squares in 5 ways, for example, as 695556 + 3839289444 = 834^2 + 61962^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 2334 + ... + 87666.

Almost surely, 23839985000 is an apocalyptic number.

3839985000 is a gapful number since it is divisible by the number (30) 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 3839985000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6497970765).

3839985000 is an abundant number, since it is smaller than the sum of its proper divisors (9155956530).

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

3839985000 is a wasteful number, since it uses less digits than its factorization.

3839985000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85365 (or 85343 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 3839985000 is about 61967.6125084709. The cubic root of 3839985000 is about 1565.9450174713.

The spelling of 3839985000 in words is "three billion, eight hundred thirty-nine million, nine hundred eighty-five thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 125 150 180 200 225 250 300 360 375 450 500 600 625 750 900 1000 1125 1250 1500 1800 1875 2250 2500 3000 3750 4500 5000 5625 7500 9000 11250 15000 22500 45000 85333 170666 255999 341332 426665 511998 682664 767997 853330 1023996 1279995 1535994 1706660 2047992 2133325 2559990 3071988 3413320 3839985 4266650 5119980 6143976 6399975 7679970 8533300 10239960 10666625 12799950 15359940 17066600 19199925 21333250 25599900 30719880 31999875 38399850 42666500 51199800 53333125 63999750 76799700 85333000 95999625 106666250 127999500 153599400 159999375 191999250 213332500 255999000 319998750 383998500 426665000 479998125 639997500 767997000 959996250 1279995000 1919992500 3839985000