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245132928 = 27321712517
BaseRepresentation
bin11101001110001…
…10111010000000
3122002021001011100
432213012322000
51000223223203
640154014400
76034411155
oct1647067200
9562231140
10245132928
11116409aa7
126a117400
133ba2a291
14247b022c
15167c1ea3
hexe9c6e80

245132928 has 96 divisors (see below), whose sum is σ = 746949060. Its totient is φ = 76898304.

The previous prime is 245132917. The next prime is 245132957. The reversal of 245132928 is 829231542.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 205291584 + 39841344 = 14328^2 + 6312^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 245132892 and 245132901.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13326 + ... + 25842.

Almost surely, 2245132928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 245132928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373474530).

245132928 is an abundant number, since it is smaller than the sum of its proper divisors (501816132).

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

245132928 is a wasteful number, since it uses less digits than its factorization.

245132928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12554 (or 12539 counting only the distinct ones).

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

The square root of 245132928 is about 15656.7214958943. The cubic root of 245132928 is about 625.8456205920.

The spelling of 245132928 in words is "two hundred forty-five million, one hundred thirty-two thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 128 136 144 153 192 204 272 288 306 384 408 544 576 612 816 1088 1152 1224 1632 2176 2448 3264 4896 6528 9792 12517 19584 25034 37551 50068 75102 100136 112653 150204 200272 212789 225306 300408 400544 425578 450612 600816 638367 801088 851156 901224 1201632 1276734 1602176 1702312 1802448 1915101 2403264 2553468 3404624 3604896 3830202 4806528 5106936 6809248 7209792 7660404 10213872 13618496 14419584 15320808 20427744 27236992 30641616 40855488 61283232 81710976 122566464 245132928