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65405268 = 22321816813
BaseRepresentation
bin1111100110000…
…0000101010100
311120001221011100
43321200011110
5113220432033
610253510100
71422635625
oct371400524
9146057140
1065405268
1133a12a45
1219aa2330
1310720356
148987a4c
155b1e513
hex3e60154

65405268 has 18 divisors (see below), whose sum is σ = 165330074. Its totient is φ = 21801744.

The previous prime is 65405267. The next prime is 65405303. The reversal of 65405268 is 86250456.

65405268 is a `hidden beast` number, since 6 + 540 + 52 + 68 = 666.

It can be written as a sum of positive squares in only one way, i.e., 64448784 + 956484 = 8028^2 + 978^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 1816813 = 65405268 / (6 + 5 + 4 + 0 + 5 + 2 + 6 + 8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65405267) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 908371 + ... + 908442.

Almost surely, 265405268 is an apocalyptic number.

It is an amenable number.

65405268 is an abundant number, since it is smaller than the sum of its proper divisors (99924806).

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

65405268 is a wasteful number, since it uses less digits than its factorization.

65405268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1816823 (or 1816818 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 65405268 is about 8087.3523479567. The cubic root of 65405268 is about 402.9064715728.

The spelling of 65405268 in words is "sixty-five million, four hundred five thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 1816813 3633626 5450439 7267252 10900878 16351317 21801756 32702634 65405268