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379665225 = 34524332
BaseRepresentation
bin10110101000010…
…011101101001001
3222110101222210000
4112220103231021
51234143241400
6101401313213
712260046462
oct2650235511
9873358700
10379665225
11185347115
12a7195809
13608719a4
14385cdd69
15234e8600
hex16a13b49

379665225 has 45 divisors (see below), whose sum is σ = 704899173. Its totient is φ = 202020480.

The previous prime is 379665217. The next prime is 379665227. The reversal of 379665225 is 522566973.

The square root of 379665225 is 19485.

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

379665225 is a `hidden beast` number, since 37 + 96 + 6 + 522 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 116057529 + 263607696 = 10773^2 + 16236^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 379665225 - 23 = 379665217 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (379665227) 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, 876609 + ... + 877041.

Almost surely, 2379665225 is an apocalyptic number.

379665225 is the 19485-th square number.

379665225 is the 9743-rd centered octagonal number.

It is an amenable number.

379665225 is a deficient number, since it is larger than the sum of its proper divisors (325233948).

379665225 is an frugal number, since it uses more digits than its factorization.

379665225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 888 (or 441 counting only the distinct ones).

The product of its digits is 680400, while the sum is 45.

The cubic root of 379665225 is about 724.1028776663.

The spelling of 379665225 in words is "three hundred seventy-nine million, six hundred sixty-five thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 135 225 405 433 675 1299 2025 2165 3897 6495 10825 11691 19485 32475 35073 58455 97425 175365 187489 292275 562467 876825 937445 1687401 2812335 4687225 5062203 8437005 14061675 15186609 25311015 42185025 75933045 126555075 379665225