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438091092 = 223816693
BaseRepresentation
bin11010000111001…
…011110101010100
31010112100100000000
4122013023311110
51344122403332
6111245451300
713566466335
oct3207136524
91115310000
10438091092
1120532235a
12102870b30
136c9ba2ca
144227c28c
15286d9b7c
hex1a1cbd54

438091092 has 54 divisors (see below), whose sum is σ = 1149999578. Its totient is φ = 146021616.

The previous prime is 438091079. The next prime is 438091099. The reversal of 438091092 is 290190834.

It can be written as a sum of positive squares in only one way, i.e., 278422596 + 159668496 = 16686^2 + 12636^2 .

It is a tau number, because it is divible by the number of its divisors (54).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (438091099) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 17898 + ... + 34590.

Almost surely, 2438091092 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 438091092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574999789).

438091092 is an abundant number, since it is smaller than the sum of its proper divisors (711908486).

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

438091092 is an equidigital number, since it uses as much as digits as its factorization.

438091092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16721 (or 16698 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 438091092 is about 20930.6256953776. The cubic root of 438091092 is about 759.4889754850.

The spelling of 438091092 in words is "four hundred thirty-eight million, ninety-one thousand, ninety-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 2187 2916 4374 6561 8748 13122 16693 26244 33386 50079 66772 100158 150237 200316 300474 450711 600948 901422 1352133 1802844 2704266 4056399 5408532 8112798 12169197 16225596 24338394 36507591 48676788 73015182 109522773 146030364 219045546 438091092