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3895508820 = 2235721969737
BaseRepresentation
bin1110100000110000…
…1011111101010100
3101001111002100111110
43220030023331110
530434222240240
61442314135020
7165351164400
oct35014137524
911044070443
103895508820
111719a05485
12908721470
134a1097908
1428d514100
1517bed4c80
hexe830bf54

3895508820 has 144 divisors (see below), whose sum is σ = 13356221760. Its totient is φ = 843526656.

The previous prime is 3895508819. The next prime is 3895508833. The reversal of 3895508820 is 288055983.

3895508820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 3895508820.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20992 + ... + 90728.

It is an arithmetic number, because the mean of its divisors is an integer number (92751540).

Almost surely, 23895508820 is an apocalyptic number.

3895508820 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 3895508820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6678110880).

3895508820 is an abundant number, since it is smaller than the sum of its proper divisors (9460712940).

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

3895508820 is a wasteful number, since it uses less digits than its factorization.

3895508820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69782 (or 69773 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 48.

The square root of 3895508820 is about 62414.0114076959. The cubic root of 3895508820 is about 1573.4564631005.

The spelling of 3895508820 in words is "three billion, eight hundred ninety-five million, five hundred eight thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 19 20 21 28 30 35 38 42 49 57 60 70 76 84 95 98 105 114 133 140 147 190 196 210 228 245 266 285 294 380 399 420 490 532 570 588 665 735 798 931 980 1140 1330 1470 1596 1862 1995 2660 2793 2940 3724 3990 4655 5586 7980 9310 11172 13965 18620 27930 55860 69737 139474 209211 278948 348685 418422 488159 697370 836844 976318 1046055 1325003 1394740 1464477 1952636 2092110 2440795 2650006 2928954 3417113 3975009 4184220 4881590 5300012 5857908 6625015 6834226 7322385 7950018 9275021 9763180 10251339 13250030 13668452 14644770 15900036 17085565 18550042 19875045 20502678 26500060 27825063 29289540 34171130 37100084 39750090 41005356 46375105 51256695 55650126 64925147 68342260 79500180 92750210 102513390 111300252 129850294 139125315 185500420 194775441 205026780 259700588 278250630 324625735 389550882 556501260 649251470 779101764 973877205 1298502940 1947754410 3895508820