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3821685900 = 2235227745989
BaseRepresentation
bin1110001111001010…
…0100110010001100
3100212100011202111020
43203302210302030
530311322422100
61431115554140
7163463536254
oct34362446214
910770152436
103821685900
1116912731aa
128a7a5b950
1348b9bb006
142837b8964
151757a15a0
hexe3ca4c8c

3821685900 has 72 divisors (see below), whose sum is σ = 11097570960. Its totient is φ = 1015415040.

The previous prime is 3821685841. The next prime is 3821685913. The reversal of 3821685900 is 95861283.

It is a super-3 number, since 3×38216859003 (a number of 30 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60106 + ... + 106094.

It is an arithmetic number, because the mean of its divisors is an integer number (154132930).

Almost surely, 23821685900 is an apocalyptic number.

3821685900 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 3821685900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5548785480).

3821685900 is an abundant number, since it is smaller than the sum of its proper divisors (7275885060).

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

3821685900 is a wasteful number, since it uses less digits than its factorization.

3821685900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46283 (or 46276 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The square root of 3821685900 is about 61819.7856676970. The cubic root of 3821685900 is about 1563.4535994431.

The spelling of 3821685900 in words is "three billion, eight hundred twenty-one million, six hundred eighty-five thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 277 300 554 831 1108 1385 1662 2770 3324 4155 5540 6925 8310 13850 16620 20775 27700 41550 45989 83100 91978 137967 183956 229945 275934 459890 551868 689835 919780 1149725 1379670 2299450 2759340 3449175 4598900 6898350 12738953 13796700 25477906 38216859 50955812 63694765 76433718 127389530 152867436 191084295 254779060 318473825 382168590 636947650 764337180 955421475 1273895300 1910842950 3821685900