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3859515625 = 5672712
BaseRepresentation
bin1110011000001011…
…1000100011101001
3100221222100201010011
43212002320203221
530401014000000
61434550451521
7164433225100
oct34602704351
910858321104
103859515625
111700661239
128b8663ba1
134967a4a74
14288825037
15178c752ba
hexe60b88e9

3859515625 has 63 divisors (see below), whose sum is σ = 5692134171. Its totient is φ = 2609250000.

The previous prime is 3859515617. The next prime is 3859515629. The reversal of 3859515625 is 5265159583.

The square root of 3859515625 is 62125.

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

It can be written as a sum of positive squares in 3 ways, for example, as 3381306201 + 478209424 = 58149^2 + 21868^2 .

It is not a de Polignac number, because 3859515625 - 23 = 3859515617 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3859515629) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 54359340 + ... + 54359410.

Almost surely, 23859515625 is an apocalyptic number.

3859515625 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

3859515625 is the 62125-th square number.

3859515625 is the 31063-rd centered octagonal number.

It is an amenable number.

3859515625 is a deficient number, since it is larger than the sum of its proper divisors (1832618546).

3859515625 is an frugal number, since it uses more digits than its factorization.

3859515625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 83 counting only the distinct ones).

The product of its digits is 1620000, while the sum is 49.

The cubic root of 3859515625 is about 1568.5953906559.

Multiplying 3859515625 by its sum of digits (49), we get a square (189116265625 = 4348752).

3859515625 divided by its sum of digits (49) gives a square (78765625 = 88752).

The spelling of 3859515625 in words is "three billion, eight hundred fifty-nine million, five hundred fifteen thousand, six hundred twenty-five".

Divisors: 1 5 7 25 35 49 71 125 175 245 355 497 625 875 1225 1775 2485 3125 3479 4375 5041 6125 8875 12425 15625 17395 21875 25205 30625 35287 44375 62125 86975 109375 126025 153125 176435 221875 247009 310625 434875 630125 765625 882175 1109375 1235045 1553125 2174375 3150625 4410875 6175225 7765625 10871875 15753125 22054375 30876125 54359375 78765625 110271875 154380625 551359375 771903125 3859515625