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245141649 = 321723072
BaseRepresentation
bin11101001110010…
…01000010010001
3122002021111010100
432213021002101
51000224013044
640154123013
76034445454
oct1647110221
9562244110
10245141649
11116415605
126a120469
133ba3123c
14247b349b
15167c4869
hexe9c9091

245141649 has 27 divisors (see below), whose sum is σ = 377376987. Its totient is φ = 153313344.

The previous prime is 245141641. The next prime is 245141653. The reversal of 245141649 is 946141542.

The square root of 245141649 is 15657.

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

245141649 is a `hidden beast` number, since 2 + 4 + 5 + 1 + 4 + 1 + 649 = 666.

It can be written as a sum of positive squares in only one way, i.e., 190854225 + 54287424 = 13815^2 + 7368^2 .

It is not a de Polignac number, because 245141649 - 23 = 245141641 is a prime.

It is not an unprimeable number, because it can be changed into a prime (245141641) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 798354 + ... + 798660.

Almost surely, 2245141649 is an apocalyptic number.

245141649 is the 15657-th square number.

245141649 is the 7829-th centered octagonal number.

It is an amenable number.

245141649 is a deficient number, since it is larger than the sum of its proper divisors (132235338).

245141649 is an equidigital number, since it uses as much as digits as its factorization.

245141649 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 654 (or 327 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The cubic root of 245141649 is about 625.8530423270.

Multiplying 245141649 by its sum of digits (36), we get a square (8825099364 = 939422).

It can be divided in two parts, 2451 and 41649, that added together give a square (44100 = 2102).

The spelling of 245141649 in words is "two hundred forty-five million, one hundred forty-one thousand, six hundred forty-nine".

Divisors: 1 3 9 17 51 153 289 307 867 921 2601 2763 5219 15657 46971 88723 94249 266169 282747 798507 848241 1602233 4806699 14420097 27237961 81713883 245141649