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65440256 = 29719312
BaseRepresentation
bin1111100110100…
…0101000000000
311120010201011012
43321220220000
5113223042011
610254340052
71423142630
oct371505000
9146121135
1065440256
1133a37262
1219aba628
131073325b
1489966c0
155b29a8b
hex3e68a00

65440256 has 120 divisors (see below), whose sum is σ = 162534240. Its totient is φ = 25712640.

The previous prime is 65440253. The next prime is 65440283. The reversal of 65440256 is 65204456.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (65440253) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2110961 + ... + 2110991.

It is an arithmetic number, because the mean of its divisors is an integer number (1354452).

Almost surely, 265440256 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 65440256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81267120).

65440256 is an abundant number, since it is smaller than the sum of its proper divisors (97093984).

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

65440256 is an equidigital number, since it uses as much as digits as its factorization.

65440256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

The square root of 65440256 is about 8089.5151894288. The cubic root of 65440256 is about 402.9783025794.

Subtracting from 65440256 its product of nonzero digits (28800), we obtain a palindrome (65411456).

The spelling of 65440256 in words is "sixty-five million, four hundred forty thousand, two hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 19 28 31 32 38 56 62 64 76 112 124 128 133 152 217 224 248 256 266 304 434 448 496 512 532 589 608 868 896 961 992 1064 1178 1216 1736 1792 1922 1984 2128 2356 2432 3472 3584 3844 3968 4123 4256 4712 4864 6727 6944 7688 7936 8246 8512 9424 9728 13454 13888 15376 15872 16492 17024 18259 18848 26908 27776 30752 32984 34048 36518 37696 53816 55552 61504 65968 68096 73036 75392 107632 111104 123008 127813 131936 146072 150784 215264 246016 255626 263872 292144 301568 430528 492032 511252 527744 584288 861056 1022504 1055488 1168576 1722112 2045008 2110976 2337152 3444224 4090016 4674304 8180032 9348608 16360064 32720128 65440256