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65441007 = 3317142573
BaseRepresentation
bin1111100110100…
…0110011101111
311120010202012000
43321220303233
5113223103012
610254343343
71423145052
oct371506357
9146122160
1065441007
1133a37885
1219abab53
13107336b8
148996a99
155b29ddc
hex3e68cef

65441007 has 16 divisors (see below), whose sum is σ = 102653280. Its totient is φ = 41060736.

The previous prime is 65440987. The next prime is 65441021. The reversal of 65441007 is 70014456.

65441007 is a `hidden beast` number, since 654 + 4 + 1 + 0 + 0 + 7 = 666.

It is not a de Polignac number, because 65441007 - 211 = 65438959 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65441027) 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 15 ways as a sum of consecutive naturals, for example, 70828 + ... + 71745.

It is an arithmetic number, because the mean of its divisors is an integer number (6415830).

Almost surely, 265441007 is an apocalyptic number.

65441007 is a deficient number, since it is larger than the sum of its proper divisors (37212273).

65441007 is a wasteful number, since it uses less digits than its factorization.

65441007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142599 (or 142593 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 65441007 is about 8089.5616074049. The cubic root of 65441007 is about 402.9798441155.

The spelling of 65441007 in words is "sixty-five million, four hundred forty-one thousand, seven".

Divisors: 1 3 9 17 27 51 153 459 142573 427719 1283157 2423741 3849471 7271223 21813669 65441007