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65808144 = 2432457001
BaseRepresentation
bin1111101100001…
…0011100010000
311120211101210200
43323002130100
5113321330034
610310255200
71426234323
oct373023420
9146741720
1065808144
11341686a6
121a057500
131083183c
148a507ba
155b9da99
hex3ec2710

65808144 has 30 divisors (see below), whose sum is σ = 184171806. Its totient is φ = 21936000.

The previous prime is 65808143. The next prime is 65808151. The reversal of 65808144 is 44180856.

It can be written as a sum of positive squares in only one way, i.e., 65804544 + 3600 = 8112^2 + 60^2 .

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 = 65808099 and 65808108.

It is not an unprimeable number, because it can be changed into a prime (65808143) 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, 228357 + ... + 228644.

Almost surely, 265808144 is an apocalyptic number.

It is an amenable number.

65808144 is an abundant number, since it is smaller than the sum of its proper divisors (118363662).

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

65808144 is a wasteful number, since it uses less digits than its factorization.

65808144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457015 (or 457006 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 65808144 is about 8112.2218904564. The cubic root of 65808144 is about 403.7320381035.

The spelling of 65808144 in words is "sixty-five million, eight hundred eight thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 457001 914002 1371003 1828004 2742006 3656008 4113009 5484012 7312016 8226018 10968024 16452036 21936048 32904072 65808144