Search a number
-
+
97194528 = 25322811201
BaseRepresentation
bin1011100101100…
…01001000100000
320202212222211100
411302301020200
5144340211103
613351114400
72260065654
oct562611040
9222788740
1097194528
114a955762
1228672a00
13171a0872
14cca0a64
1587ed5a3
hex5cb1220

97194528 has 72 divisors (see below), whose sum is σ = 277611516. Its totient is φ = 32256000.

The previous prime is 97194511. The next prime is 97194553. The reversal of 97194528 is 82549179.

It can be written as a sum of positive squares in 2 ways, for example, as 89643024 + 7551504 = 9468^2 + 2748^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 80328 + ... + 81528.

Almost surely, 297194528 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 97194528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138805758).

97194528 is an abundant number, since it is smaller than the sum of its proper divisors (180416988).

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

97194528 is a wasteful number, since it uses less digits than its factorization.

97194528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1498 (or 1487 counting only the distinct ones).

The product of its digits is 181440, while the sum is 45.

The square root of 97194528 is about 9858.7285184247. The cubic root of 97194528 is about 459.7770311976. Note that the first 3 decimals are identical.

The spelling of 97194528 in words is "ninety-seven million, one hundred ninety-four thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 281 288 562 843 1124 1201 1686 2248 2402 2529 3372 3603 4496 4804 5058 6744 7206 8992 9608 10116 10809 13488 14412 19216 20232 21618 26976 28824 38432 40464 43236 57648 80928 86472 115296 172944 337481 345888 674962 1012443 1349924 2024886 2699848 3037329 4049772 5399696 6074658 8099544 10799392 12149316 16199088 24298632 32398176 48597264 97194528