Search a number
-
+
1563000152 = 237593671289
BaseRepresentation
bin101110100101001…
…0111110101011000
311000221001122010112
41131022113311120
511200112001102
6415032303452
753506165520
oct13512276530
94027048115
101563000152
1173230016a
12377541b88
131bba7c97c
1410b822680
1592341252
hex5d297d58

1563000152 has 64 divisors (see below), whose sum is σ = 3417984000. Its totient is φ = 656199936.

The previous prime is 1563000151. The next prime is 1563000161. The reversal of 1563000152 is 2510003651.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1563000151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1211924 + ... + 1213212.

It is an arithmetic number, because the mean of its divisors is an integer number (53406000).

Almost surely, 21563000152 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 1563000152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1708992000).

1563000152 is an abundant number, since it is smaller than the sum of its proper divisors (1854983848).

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

1563000152 is a wasteful number, since it uses less digits than its factorization.

1563000152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1728 (or 1724 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 23.

The square root of 1563000152 is about 39534.7967238988. The cubic root of 1563000152 is about 1160.5210085248.

The spelling of 1563000152 in words is "one billion, five hundred sixty-three million, one hundred fifty-two", and thus it is an aban number.

Divisors: 1 2 4 7 8 14 28 56 59 118 236 367 413 472 734 826 1289 1468 1652 2569 2578 2936 3304 5138 5156 9023 10276 10312 18046 20552 21653 36092 43306 72184 76051 86612 151571 152102 173224 303142 304204 473063 532357 606284 608408 946126 1064714 1212568 1892252 2129428 3311441 3784504 4258856 6622882 13245764 26491528 27910717 55821434 111642868 195375019 223285736 390750038 781500076 1563000152