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438365052 = 2232475092
BaseRepresentation
bin11010001000001…
…110101101111100
31010112212020210200
4122020032231330
51344210140202
6111255403500
713602020136
oct3210165574
91115766720
10438365052
1120549a174
12102983590
136ca84c08
1442310056
1528740e1c
hex1a20eb7c

438365052 has 54 divisors (see below), whose sum is σ = 1133893488. Its totient is φ = 142731744.

The previous prime is 438365051. The next prime is 438365069. The reversal of 438365052 is 250563834.

It is a happy number.

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

It is an alternating number because its digits alternate between even and odd.

It is a junction number, because it is equal to n+sod(n) for n = 438364998 and 438365016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (438365051) 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, 860974 + ... + 861482.

Almost surely, 2438365052 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 438365052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566946744).

438365052 is an abundant number, since it is smaller than the sum of its proper divisors (695528436).

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

438365052 is a wasteful number, since it uses less digits than its factorization.

438365052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1075 (or 561 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 438365052 is about 20937.1691496248. The cubic root of 438365052 is about 759.6472578198.

The spelling of 438365052 in words is "four hundred thirty-eight million, three hundred sixty-five thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 47 94 141 188 282 423 509 564 846 1018 1527 1692 2036 3054 4581 6108 9162 18324 23923 47846 71769 95692 143538 215307 259081 287076 430614 518162 777243 861228 1036324 1554486 2331729 3108972 4663458 9326916 12176807 24353614 36530421 48707228 73060842 109591263 146121684 219182526 438365052