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65378944 = 27510773
BaseRepresentation
bin1111100101100…
…1101010000000
311120000121001101
43321121222000
5113214111234
610253144144
71422466111
oct371315200
9146017041
1065378944
11339a5194
1219a8b054
1310711387
14897c208
155b16814
hex3e59a80

65378944 has 16 divisors (see below), whose sum is σ = 130247370. Its totient is φ = 32689408.

The previous prime is 65378939. The next prime is 65378947. The reversal of 65378944 is 44987356.

It can be written as a sum of positive squares in only one way, i.e., 46785600 + 18593344 = 6840^2 + 4312^2 .

It is a tau number, because it is divible by the number of its divisors (16).

It is a junction number, because it is equal to n+sod(n) for n = 65378894 and 65378903.

It is not an unprimeable number, because it can be changed into a prime (65378947) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 255259 + ... + 255514.

Almost surely, 265378944 is an apocalyptic number.

65378944 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

65378944 is a deficient number, since it is larger than the sum of its proper divisors (64868426).

65378944 is an equidigital number, since it uses as much as digits as its factorization.

65378944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510787 (or 510775 counting only the distinct ones).

The product of its digits is 725760, while the sum is 46.

The square root of 65378944 is about 8085.7247046879. The cubic root of 65378944 is about 402.8524110285.

It can be divided in two parts, 653 and 78944, that added together give a palindrome (79597).

The spelling of 65378944 in words is "sixty-five million, three hundred seventy-eight thousand, nine hundred forty-four".

Divisors: 1 2 4 8 16 32 64 128 510773 1021546 2043092 4086184 8172368 16344736 32689472 65378944