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445242096 = 24351323383
BaseRepresentation
bin11010100010011…
…101101011110000
31011000210122100000
4122202131223300
51402440221341
6112103030000
714014331625
oct3242355360
91130718300
10445242096
11209366a82
1210513b300
1371322180
14431c034c
152914d8b6
hex1a89daf0

445242096 has 240 divisors, whose sum is σ = 1455906816. Its totient is φ = 130699008.

The previous prime is 445242089. The next prime is 445242097. The reversal of 445242096 is 690242544.

445242096 is a `hidden beast` number, since 44 + 524 + 2 + 0 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 445242096.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (445242097) 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, 1162321 + ... + 1162703.

Almost surely, 2445242096 is an apocalyptic number.

445242096 is a gapful number since it is divisible by the number (46) 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 445242096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (727953408).

445242096 is an abundant number, since it is smaller than the sum of its proper divisors (1010664720).

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

445242096 is a wasteful number, since it uses less digits than its factorization.

445242096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 445242096 is about 21100.7605550132. The cubic root of 445242096 is about 763.5990970682.

The spelling of 445242096 in words is "four hundred forty-five million, two hundred forty-two thousand, ninety-six".