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65376896 = 2713101389
BaseRepresentation
bin1111100101100…
…1001010000000
311120000111020112
43321121022000
5113214030041
610253130452
71422460124
oct371311200
9146014215
1065376896
11339a36a2
1219a89a28
1310710470
14897b584
155b15deb
hex3e59280

65376896 has 64 divisors (see below), whose sum is σ = 142014600. Its totient is φ = 29798400.

The previous prime is 65376887. The next prime is 65376901. The reversal of 65376896 is 69867356.

It can be written as a sum of positive squares in 4 ways, for example, as 53816896 + 11560000 = 7336^2 + 3400^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 167870 + ... + 168258.

Almost surely, 265376896 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65376896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71007300).

65376896 is an abundant number, since it is smaller than the sum of its proper divisors (76637704).

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

65376896 is a wasteful number, since it uses less digits than its factorization.

65376896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517 (or 505 counting only the distinct ones).

The product of its digits is 1632960, while the sum is 50.

The square root of 65376896 is about 8085.5980607497. The cubic root of 65376896 is about 402.8482045245.

The spelling of 65376896 in words is "sixty-five million, three hundred seventy-six thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 101 104 128 202 208 389 404 416 778 808 832 1313 1556 1616 1664 2626 3112 3232 5057 5252 6224 6464 10114 10504 12448 12928 20228 21008 24896 39289 40456 42016 49792 78578 80912 84032 157156 161824 168064 314312 323648 510757 628624 647296 1021514 1257248 2043028 2514496 4086056 5028992 8172112 16344224 32688448 65376896