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4832438436 = 2232756334061
BaseRepresentation
bin1001000000000100…
…10010100010100100
3110110210002022022100
410200002102202210
534344101012221
62115303532100
7230516022540
oct44002224244
913423068270
104832438436
11205a870581
12b2a45a030
135c0221437
1433bb24a20
151d43a8926
hex1200928a4

4832438436 has 72 divisors (see below), whose sum is σ = 13985584704. Its totient is φ = 1378203840.

The previous prime is 4832438431. The next prime is 4832438459. The reversal of 4832438436 is 6348342384.

It is a super-2 number, since 2×48324384362 = 46704922475460252192, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 4832438391 and 4832438400.

It is not an unprimeable number, because it can be changed into a prime (4832438431) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 124846 + ... + 158906.

It is an arithmetic number, because the mean of its divisors is an integer number (194244232).

Almost surely, 24832438436 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 4832438436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6992792352).

4832438436 is an abundant number, since it is smaller than the sum of its proper divisors (9153146268).

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

4832438436 is a wasteful number, since it uses less digits than its factorization.

4832438436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34641 (or 34636 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 45.

The square root of 4832438436 is about 69515.7423609933. The cubic root of 4832438436 is about 1690.6567520871.

The spelling of 4832438436 in words is "four billion, eight hundred thirty-two million, four hundred thirty-eight thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 563 1126 1689 2252 3378 3941 5067 6756 7882 10134 11823 15764 20268 23646 34061 35469 47292 68122 70938 102183 136244 141876 204366 238427 306549 408732 476854 613098 715281 953708 1226196 1430562 2145843 2861124 4291686 8583372 19176343 38352686 57529029 76705372 115058058 134234401 172587087 230116116 268468802 345174174 402703203 536937604 690348348 805406406 1208109609 1610812812 2416219218 4832438436