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65451056 = 2411373997
BaseRepresentation
bin1111100110101…
…1010000110000
311120011020222012
43321223100300
5113223413211
610254502052
71423216256
oct371532060
9146136865
1065451056
1133a44390
1219b04928
1310738148
14899a5d6
155b2cd8b
hex3e6b430

65451056 has 40 divisors (see below), whose sum is σ = 138849744. Its totient is φ = 29640960.

The previous prime is 65451053. The next prime is 65451059. The reversal of 65451056 is 65015456.

65451056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (65451053) and next prime (65451059).

It is not an unprimeable number, because it can be changed into a prime (65451053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 65150 + ... + 66146.

Almost surely, 265451056 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 65451056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69424872).

65451056 is an abundant number, since it is smaller than the sum of its proper divisors (73398688).

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

65451056 is a wasteful number, since it uses less digits than its factorization.

65451056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1389 (or 1383 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 32.

The square root of 65451056 is about 8090.1826926220. The cubic root of 65451056 is about 403.0004700062. Note that the first 3 decimals are identical.

Subtracting from 65451056 its reverse (65015456), we obtain a square (435600 = 6602).

The spelling of 65451056 in words is "sixty-five million, four hundred fifty-one thousand, fifty-six".

Divisors: 1 2 4 8 11 16 22 44 88 176 373 746 997 1492 1994 2984 3988 4103 5968 7976 8206 10967 15952 16412 21934 32824 43868 65648 87736 175472 371881 743762 1487524 2975048 4090691 5950096 8181382 16362764 32725528 65451056