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3852827020 = 2257371395351
BaseRepresentation
bin1110010110100101…
…0111100110001100
3100221111202220002001
43211221113212030
530342310431040
61434151242044
7164322326560
oct34551274614
910844686061
103852827020
1116a7902a69
128b6379324
134952a2503
142879a36a0
151783a359a
hexe5a5798c

3852827020 has 96 divisors (see below), whose sum is σ = 9566807040. Its totient is φ = 1275782400.

The previous prime is 3852826981. The next prime is 3852827023. The reversal of 3852827020 is 207282583.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is not an unprimeable number, because it can be changed into a prime (3852827023) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 717345 + ... + 722695.

It is an arithmetic number, because the mean of its divisors is an integer number (99654240).

Almost surely, 23852827020 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 3852827020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4783403520).

3852827020 is an abundant number, since it is smaller than the sum of its proper divisors (5713980020).

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

3852827020 is a wasteful number, since it uses less digits than its factorization.

3852827020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5543 (or 5541 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 37.

The square root of 3852827020 is about 62071.1448259173. The cubic root of 3852827020 is about 1567.6887327047.

The spelling of 3852827020 in words is "three billion, eight hundred fifty-two million, eight hundred twenty-seven thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 37 70 74 139 140 148 185 259 278 370 518 556 695 740 973 1036 1295 1390 1946 2590 2780 3892 4865 5143 5180 5351 9730 10286 10702 19460 20572 21404 25715 26755 36001 37457 51430 53510 72002 74914 102860 107020 144004 149828 180005 187285 197987 360010 374570 395974 720020 743789 749140 791948 989935 1385909 1487578 1979870 2771818 2975156 3718945 3959740 5206523 5543636 6929545 7437890 10413046 13859090 14875780 20826092 26032615 27520193 27718180 52065230 55040386 104130460 110080772 137600965 192641351 275201930 385282702 550403860 770565404 963206755 1926413510 3852827020