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65996448 = 25371753109
BaseRepresentation
bin1111101111000…
…0011010100000
311121011222002220
43323300122200
5113343341243
610314311040
71430650320
oct373603240
9147158086
1065996448
1134287121
121a128480
131089946b
148a9d280
155bd9783
hex3ef06a0

65996448 has 192 divisors, whose sum is σ = 215550720. Its totient is φ = 17252352.

The previous prime is 65996393. The next prime is 65996459. The reversal of 65996448 is 84469956.

65996448 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×659964482 = 8711062297233408, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 65996448.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 605418 + ... + 605526.

It is an arithmetic number, because the mean of its divisors is an integer number (1122660).

Almost surely, 265996448 is an apocalyptic number.

65996448 is a gapful number since it is divisible by the number (68) 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 65996448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107775360).

65996448 is an abundant number, since it is smaller than the sum of its proper divisors (149554272).

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

65996448 is a wasteful number, since it uses less digits than its factorization.

65996448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 191 counting only the distinct ones).

The product of its digits is 1866240, while the sum is 51.

The square root of 65996448 is about 8123.8197912066. The cubic root of 65996448 is about 404.1167521925.

The spelling of 65996448 in words is "sixty-five million, nine hundred ninety-six thousand, four hundred forty-eight".