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3685097025 = 3452192712
BaseRepresentation
bin1101101110100110…
…0001111001000001
3100111211011022210000
43123221201321001
530021341101100
61405400230213
7160214544051
oct33351417101
910454138700
103685097025
111621160a35
1286a16b369
134696064ac
1426d5c1561
151687c0900
hexdba61e41

3685097025 has 135 divisors (see below), whose sum is σ = 7307146803. Its totient is φ = 1835719200.

The previous prime is 3685096999. The next prime is 3685097057. The reversal of 3685097025 is 5207905863.

It is a happy number.

The square root of 3685097025 is 60705.

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

3685097025 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 1326634929 + 2358462096 = 36423^2 + 48564^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 3685097025 - 219 = 3684572737 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 51902740 + ... + 51902810.

Almost surely, 23685097025 is an apocalyptic number.

3685097025 is the 60705-th square number.

3685097025 is the 30353-rd centered octagonal number.

It is an amenable number.

3685097025 is a deficient number, since it is larger than the sum of its proper divisors (3622049778).

3685097025 is an equidigital number, since it uses as much as digits as its factorization.

3685097025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The cubic root of 3685097025 is about 1544.6009903724.

The spelling of 3685097025 in words is "three billion, six hundred eighty-five million, ninety-seven thousand, twenty-five".

Divisors: 1 3 5 9 15 19 25 27 45 57 71 75 81 95 135 171 213 225 285 355 361 405 475 513 639 675 855 1065 1083 1349 1425 1539 1775 1805 1917 2025 2565 3195 3249 4047 4275 5041 5325 5415 5751 6745 7695 9025 9585 9747 12141 12825 15123 15975 16245 20235 25205 25631 27075 28755 29241 33725 36423 38475 45369 47925 48735 60705 75615 76893 81225 95779 101175 109269 126025 128155 136107 143775 146205 182115 226845 230679 243675 287337 303525 378075 384465 408321 478895 546345 640775 680535 692037 731025 862011 910575 1134225 1153395 1436685 1819801 1922325 2041605 2076111 2394475 2586033 2731725 3402675 3460185 4310055 5459403 5766975 7183425 7758099 9099005 10208025 10380555 12930165 16378209 17300925 21550275 27297015 38790495 45495025 49134627 51902775 64650825 81891045 136485075 147403881 193952475 245673135 409455225 737019405 1228365675 3685097025