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65720448 = 273289641
BaseRepresentation
bin1111101010110…
…1000010000000
311120122221111200
43322231002000
5113311023243
610304341200
71425420543
oct372550200
9146587450
1065720448
1134108822
121a014800
1310800951
148a2a85a
155b82ad3
hex3ead080

65720448 has 96 divisors (see below), whose sum is σ = 191540700. Its totient is φ = 21626880.

The previous prime is 65720441. The next prime is 65720509. The reversal of 65720448 is 84402756.

It can be written as a sum of positive squares in 2 ways, for example, as 65415744 + 304704 = 8088^2 + 552^2 .

It is a tau number, because it is divible by the number of its divisors (96).

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

It is not an unprimeable number, because it can be changed into a prime (65720441) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 102208 + ... + 102848.

Almost surely, 265720448 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 65720448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95770350).

65720448 is an abundant number, since it is smaller than the sum of its proper divisors (125820252).

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

65720448 is a wasteful number, since it uses less digits than its factorization.

65720448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 750 (or 735 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 65720448 is about 8106.8149109253. The cubic root of 65720448 is about 403.5526204735.

It can be divided in two parts, 657 and 20448, that multiplied together give a triangular number (13434336 = T5183).

The spelling of 65720448 in words is "sixty-five million, seven hundred twenty thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 89 96 128 144 178 192 267 288 356 384 534 576 641 712 801 1068 1152 1282 1424 1602 1923 2136 2564 2848 3204 3846 4272 5128 5696 5769 6408 7692 8544 10256 11392 11538 12816 15384 17088 20512 23076 25632 30768 34176 41024 46152 51264 57049 61536 82048 92304 102528 114098 123072 171147 184608 228196 246144 342294 369216 456392 513441 684588 738432 912784 1026882 1369176 1825568 2053764 2738352 3651136 4107528 5476704 7302272 8215056 10953408 16430112 21906816 32860224 65720448