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65092896 = 253511761
BaseRepresentation
bin1111100001001…
…1110100100000
311112111001200000
43320103310200
5113130433041
610243100000
71420165131
oct370236440
9145431600
1065092896
113381a290
1219971600
131064110b
148905c88
155aabbb6
hex3e13d20

65092896 has 144 divisors (see below), whose sum is σ = 209690208. Its totient is φ = 19699200.

The previous prime is 65092861. The next prime is 65092913. The reversal of 65092896 is 69829056.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 85156 + ... + 85916.

It is an arithmetic number, because the mean of its divisors is an integer number (1456182).

Almost surely, 265092896 is an apocalyptic number.

65092896 is a gapful number since it is divisible by the number (66) 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 65092896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104845104).

65092896 is an abundant number, since it is smaller than the sum of its proper divisors (144597312).

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

65092896 is a wasteful number, since it uses less digits than its factorization.

65092896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 797 (or 777 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 65092896 is about 8068.0168567003. The cubic root of 65092896 is about 402.2640279334.

The spelling of 65092896 in words is "sixty-five million, ninety-two thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 66 72 81 88 96 99 108 132 144 162 176 198 216 243 264 288 297 324 352 396 432 486 528 594 648 761 792 864 891 972 1056 1188 1296 1522 1584 1782 1944 2283 2376 2592 2673 3044 3168 3564 3888 4566 4752 5346 6088 6849 7128 7776 8371 9132 9504 10692 12176 13698 14256 16742 18264 20547 21384 24352 25113 27396 28512 33484 36528 41094 42768 50226 54792 61641 66968 73056 75339 82188 85536 100452 109584 123282 133936 150678 164376 184923 200904 219168 226017 246564 267872 301356 328752 369846 401808 452034 493128 602712 657504 678051 739692 803616 904068 986256 1205424 1356102 1479384 1808136 1972512 2034153 2410848 2712204 2958768 3616272 4068306 5424408 5917536 7232544 8136612 10848816 16273224 21697632 32546448 65092896