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65948328 = 2332915949
BaseRepresentation
bin1111101110010…
…0101010101000
311121002112002200
43323210222220
5113340321303
610313300200
71430360115
oct373445250
9147075080
1065948328
1134253a56
121a104660
13108805a4
148a8990c
155bca3a3
hex3ee4aa8

65948328 has 24 divisors (see below), whose sum is σ = 178610250. Its totient is φ = 21982752.

The previous prime is 65948327. The next prime is 65948347. The reversal of 65948328 is 82384956.

It can be written as a sum of positive squares in only one way, i.e., 33663204 + 32285124 = 5802^2 + 5682^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is not an unprimeable number, because it can be changed into a prime (65948327) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 457903 + ... + 458046.

Almost surely, 265948328 is an apocalyptic number.

It is an amenable number.

65948328 is an abundant number, since it is smaller than the sum of its proper divisors (112661922).

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

65948328 is a wasteful number, since it uses less digits than its factorization.

65948328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 915961 (or 915954 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 65948328 is about 8120.8575901810. The cubic root of 65948328 is about 404.0185104089.

The spelling of 65948328 in words is "sixty-five million, nine hundred forty-eight thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 915949 1831898 2747847 3663796 5495694 7327592 8243541 10991388 16487082 21982776 32974164 65948328