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3850202500 = 2254172732
BaseRepresentation
bin1110010101111101…
…0110110110000100
3100221022211112220121
43211133112312010
530341122440000
61434015111324
7164261116114
oct34537266604
910838745817
103850202500
1116a6380141
128b5512544
13494893a41
142874bd044
15178035b1a
hexe57d6d84

3850202500 has 135 divisors (see below), whose sum is σ = 9068227707. Its totient is φ = 1429632000.

The previous prime is 3850202467. The next prime is 3850202501. The reversal of 3850202500 is 52020583.

The square root of 3850202500 is 62050.

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

It can be written as a sum of positive squares in 22 ways, for example, as 3825917316 + 24285184 = 61854^2 + 4928^2 .

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3850202501) 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, 52742464 + ... + 52742536.

Almost surely, 23850202500 is an apocalyptic number.

3850202500 is the 62050-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3850202500

3850202500 is an abundant number, since it is smaller than the sum of its proper divisors (5218025207).

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

3850202500 is an equidigital number, since it uses as much as digits as its factorization.

3850202500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The cubic root of 3850202500 is about 1567.3326854866.

Multiplying 3850202500 by its sum of digits (25), we get a square (96255062500 = 3102502).

3850202500 divided by its sum of digits (25) gives a square (154008100 = 124102).

The spelling of 3850202500 in words is "three billion, eight hundred fifty million, two hundred two thousand, five hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 73 85 100 125 146 170 250 289 292 340 365 425 500 578 625 730 850 1156 1241 1250 1445 1460 1700 1825 2125 2482 2500 2890 3650 4250 4964 5329 5780 6205 7225 7300 8500 9125 10625 10658 12410 14450 18250 21097 21250 21316 24820 26645 28900 31025 36125 36500 42194 42500 45625 53290 62050 72250 84388 90593 91250 105485 106580 124100 133225 144500 155125 180625 181186 182500 210970 266450 310250 361250 362372 421940 452965 527425 532900 620500 666125 722500 775625 905930 1054850 1332250 1540081 1551250 1811860 2109700 2264825 2637125 2664500 3080162 3102500 3330625 4529650 5274250 6160324 6661250 7700405 9059300 10548500 11324125 13185625 13322500 15400810 22648250 26371250 30801620 38502025 45296500 52742500 56620625 77004050 113241250 154008100 192510125 226482500 385020250 770040500 962550625 1925101250 3850202500