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445227552 = 2532711171181
BaseRepresentation
bin11010100010011…
…010001000100000
31011000202220101100
4122202122020200
51402434240202
6112102434400
714014241340
oct3242321040
91130686340
10445227552
11209357060
12105132a00
1371318673
14431b8d20
152914941c
hex1a89a220

445227552 has 288 divisors, whose sum is σ = 1672804224. Its totient is φ = 108748800.

The previous prime is 445227539. The next prime is 445227557. The reversal of 445227552 is 255722544.

It is a tau number, because it is divible by the number of its divisors (288).

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 (445227557) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 376402 + ... + 377582.

It is an arithmetic number, because the mean of its divisors is an integer number (5808348).

Almost surely, 2445227552 is an apocalyptic number.

445227552 is a gapful number since it is divisible by the number (42) 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 445227552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (836402112).

445227552 is an abundant number, since it is smaller than the sum of its proper divisors (1227576672).

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

445227552 is a wasteful number, since it uses less digits than its factorization.

445227552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1232 (or 1221 counting only the distinct ones).

The product of its digits is 112000, while the sum is 36.

The square root of 445227552 is about 21100.4159200713. The cubic root of 445227552 is about 763.5907825607.

The spelling of 445227552 in words is "four hundred forty-five million, two hundred twenty-seven thousand, five hundred fifty-two".