Search a number
-
+
97478541 = 32291312851
BaseRepresentation
bin1011100111101…
…10011110001101
320210102102102100
411303312132031
5144423303131
613401145313
72262360666
oct563663615
9223372370
1097478541
115002a086
122878b239
131726cc14
14cd3636d
1588577e6
hex5cf678d

97478541 has 24 divisors (see below), whose sum is σ = 146820960. Its totient is φ = 62244000.

The previous prime is 97478533. The next prime is 97478551. The reversal of 97478541 is 14587479.

It is a happy number.

It is not a de Polignac number, because 97478541 - 23 = 97478533 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97478551) 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 23 ways as a sum of consecutive naturals, for example, 32766 + ... + 35616.

It is an arithmetic number, because the mean of its divisors is an integer number (6117540).

Almost surely, 297478541 is an apocalyptic number.

It is an amenable number.

97478541 is a deficient number, since it is larger than the sum of its proper divisors (49342419).

97478541 is a wasteful number, since it uses less digits than its factorization.

97478541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3017 (or 3014 counting only the distinct ones).

The product of its digits is 282240, while the sum is 45.

The square root of 97478541 is about 9873.1221505662. The cubic root of 97478541 is about 460.2244352182.

The spelling of 97478541 in words is "ninety-seven million, four hundred seventy-eight thousand, five hundred forty-one".

Divisors: 1 3 9 29 87 131 261 393 1179 2851 3799 8553 11397 25659 34191 82679 248037 373481 744111 1120443 3361329 10830949 32492847 97478541