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65314728 = 23332910427
BaseRepresentation
bin1111100100100…
…1111110101000
311112220022222000
43321021332220
5113210032403
610251531000
71422110643
oct371117650
9145808860
1065314728
1133960a16
1219a59a60
13106bb08b
148962a5a
155b027a3
hex3e49fa8

65314728 has 64 divisors (see below), whose sum is σ = 187704000. Its totient is φ = 21018816.

The previous prime is 65314673. The next prime is 65314729. The reversal of 65314728 is 82741356.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 3.

It is a junction number, because it is equal to n+sod(n) for n = 65314692 and 65314701.

It is not an unprimeable number, because it can be changed into a prime (65314729) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1051 + ... + 11477.

It is an arithmetic number, because the mean of its divisors is an integer number (2932875).

Almost surely, 265314728 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 65314728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93852000).

65314728 is an abundant number, since it is smaller than the sum of its proper divisors (122389272).

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

65314728 is a wasteful number, since it uses less digits than its factorization.

65314728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10471 (or 10461 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 65314728 is about 8081.7527801833. The cubic root of 65314728 is about 402.7204722968.

The spelling of 65314728 in words is "sixty-five million, three hundred fourteen thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 29 36 54 58 72 87 108 116 174 216 232 261 348 522 696 783 1044 1566 2088 3132 6264 10427 20854 31281 41708 62562 83416 93843 125124 187686 250248 281529 302383 375372 563058 604766 750744 907149 1126116 1209532 1814298 2252232 2419064 2721447 3628596 5442894 7257192 8164341 10885788 16328682 21771576 32657364 65314728