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3887522500 = 2254292432
BaseRepresentation
bin1110011110110110…
…1110001011000100
3101000221001121022211
43213231232023010
530430201210000
61441431033204
7165223252561
oct34755561304
911027047284
103887522500
111715450214
12905b0b804
1349c52c794
1428c435868
1517b4587ba
hexe7b6e2c4

3887522500 has 135 divisors (see below), whose sum is σ = 9014006001. Its totient is φ = 1466472000.

The previous prime is 3887522489. The next prime is 3887522503. The reversal of 3887522500 is 52257883.

The square root of 3887522500 is 62350.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 2907582084 + 979940416 = 53922^2 + 31304^2 .

It is a super-2 number, since 2×38875225002 = 30225662376012500000, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3887522503) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 90407479 + ... + 90407521.

Almost surely, 23887522500 is an apocalyptic number.

3887522500 is the 62350-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3887522500

3887522500 is an abundant number, since it is smaller than the sum of its proper divisors (5126483501).

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

3887522500 is an equidigital number, since it uses as much as digits as its factorization.

3887522500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 40.

The cubic root of 3887522500 is about 1572.3804612553.

The spelling of 3887522500 in words is "three billion, eight hundred eighty-seven million, five hundred twenty-two thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 29 43 50 58 86 100 116 125 145 172 215 250 290 430 500 580 625 725 841 860 1075 1247 1250 1450 1682 1849 2150 2494 2500 2900 3364 3625 3698 4205 4300 4988 5375 6235 7250 7396 8410 9245 10750 12470 14500 16820 18125 18490 21025 21500 24940 26875 31175 36163 36250 36980 42050 46225 53621 53750 62350 72326 72500 84100 92450 105125 107242 107500 124700 144652 155875 180815 184900 210250 214484 231125 268105 311750 361630 420500 462250 525625 536210 623500 723260 779375 904075 924500 1051250 1072420 1155625 1340525 1555009 1558750 1808150 2102500 2311250 2681050 3110018 3117500 3616300 4520375 4622500 5362100 6220036 6702625 7775045 9040750 13405250 15550090 18081500 22601875 26810500 31100180 33513125 38875225 45203750 67026250 77750450 90407500 134052500 155500900 194376125 388752250 777504500 971880625 1943761250 3887522500