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438427648 = 213109491
BaseRepresentation
bin11010001000011…
…110000000000000
31010112222102200001
4122020132000000
51344214141043
6111301005344
713602400501
oct3210360000
91115872601
10438427648
112055321aa
121029b3854
136caa7559
1442328ba8
152875474d
hex1a21e000

438427648 has 56 divisors (see below), whose sum is σ = 886647960. Its totient is φ = 216760320.

The previous prime is 438427631. The next prime is 438427651. The reversal of 438427648 is 846724834.

It is a junction number, because it is equal to n+sod(n) for n = 438427598 and 438427607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 892683 + ... + 893173.

Almost surely, 2438427648 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 438427648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443323980).

438427648 is an abundant number, since it is smaller than the sum of its proper divisors (448220312).

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

438427648 is an equidigital number, since it uses as much as digits as its factorization.

438427648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 626 (or 602 counting only the distinct ones).

The product of its digits is 1032192, while the sum is 46.

The square root of 438427648 is about 20938.6639497366. The cubic root of 438427648 is about 759.6834138473.

The spelling of 438427648 in words is "four hundred thirty-eight million, four hundred twenty-seven thousand, six hundred forty-eight".

Divisors: 1 2 4 8 16 32 64 109 128 218 256 436 491 512 872 982 1024 1744 1964 2048 3488 3928 4096 6976 7856 8192 13952 15712 27904 31424 53519 55808 62848 107038 111616 125696 214076 223232 251392 428152 446464 502784 856304 892928 1005568 1712608 2011136 3425216 4022272 6850432 13700864 27401728 54803456 109606912 219213824 438427648