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65414144 = 210127503
BaseRepresentation
bin1111100110001…
…0010000000000
311120002101100002
43321202100000
5113221223034
610254015132
71423003535
oct371422000
9146071302
1065414144
1133a19684
1219aa74a8
13107243c3
14898ad8c
155b21e7e
hex3e62400

65414144 has 44 divisors (see below), whose sum is σ = 132056064. Its totient is φ = 32385024.

The previous prime is 65414119. The next prime is 65414179. The reversal of 65414144 is 44141456.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 129797 + ... + 130299.

Almost surely, 265414144 is an apocalyptic number.

65414144 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65414144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66028032).

65414144 is an abundant number, since it is smaller than the sum of its proper divisors (66641920).

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

65414144 is a wasteful number, since it uses less digits than its factorization.

65414144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 650 (or 632 counting only the distinct ones).

The product of its digits is 7680, while the sum is 29.

The square root of 65414144 is about 8087.9010874268. The cubic root of 65414144 is about 402.9246965884.

The spelling of 65414144 in words is "sixty-five million, four hundred fourteen thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 64 127 128 254 256 503 508 512 1006 1016 1024 2012 2032 4024 4064 8048 8128 16096 16256 32192 32512 63881 64384 65024 127762 128768 130048 255524 257536 511048 515072 1022096 2044192 4088384 8176768 16353536 32707072 65414144