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65348992 = 273143383
BaseRepresentation
bin1111100101001…
…0010110000000
311112222001222001
43321102112000
5113212131432
610252353344
71422312562
oct371222600
9145861861
1065348992
1133984735
1219a75854
1310700857
148971332
155b0c9e7
hex3e52580

65348992 has 64 divisors (see below), whose sum is σ = 137871360. Its totient is φ = 30804480.

The previous prime is 65348981. The next prime is 65349001. The reversal of 65348992 is 29984356.

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

It is a congruent number.

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, 170433 + ... + 170815.

It is an arithmetic number, because the mean of its divisors is an integer number (2154240).

Almost surely, 265348992 is an apocalyptic number.

65348992 is a gapful number since it is divisible by the number (62) 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 65348992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68935680).

65348992 is an abundant number, since it is smaller than the sum of its proper divisors (72522368).

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

65348992 is a wasteful number, since it uses less digits than its factorization.

65348992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471 (or 459 counting only the distinct ones).

The product of its digits is 466560, while the sum is 46.

The square root of 65348992 is about 8083.8723394175. The cubic root of 65348992 is about 402.7908821540.

The spelling of 65348992 in words is "sixty-five million, three hundred forty-eight thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 16 31 32 43 62 64 86 124 128 172 248 344 383 496 688 766 992 1333 1376 1532 1984 2666 2752 3064 3968 5332 5504 6128 10664 11873 12256 16469 21328 23746 24512 32938 42656 47492 49024 65876 85312 94984 131752 170624 189968 263504 379936 510539 527008 759872 1021078 1054016 1519744 2042156 2108032 4084312 8168624 16337248 32674496 65348992