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448495392 = 25341113947
BaseRepresentation
bin11010101110110…
…111111100100000
31011020220221000110
4122232313330200
51404303323032
6112300451320
714054101512
oct3256677440
91136827013
10448495392
11210189254
12106249b40
1371bc0bb7
14437c9bb2
15295927cc
hex1abb7f20

448495392 has 48 divisors (see below), whose sum is σ = 1206025632. Its totient is φ = 145850880.

The previous prime is 448495391. The next prime is 448495441. The reversal of 448495392 is 293594844.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×4484953922 = 402296233290467328, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (448495391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53038 + ... + 60909.

It is an arithmetic number, because the mean of its divisors is an integer number (25125534).

Almost surely, 2448495392 is an apocalyptic number.

It is an amenable number.

448495392 is an abundant number, since it is smaller than the sum of its proper divisors (757530240).

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

448495392 is a wasteful number, since it uses less digits than its factorization.

448495392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114001 (or 113993 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 48.

The square root of 448495392 is about 21177.7097911932. The cubic root of 448495392 is about 765.4544081445.

The spelling of 448495392 in words is "four hundred forty-eight million, four hundred ninety-five thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 82 96 123 164 246 328 492 656 984 1312 1968 3936 113947 227894 341841 455788 683682 911576 1367364 1823152 2734728 3646304 4671827 5469456 9343654 10938912 14015481 18687308 28030962 37374616 56061924 74749232 112123848 149498464 224247696 448495392