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4382312868 = 223450926573
BaseRepresentation
bin1000001010011010…
…01100100110100100
3102022102002120010000
410011031030212210
532433333002433
62002504101300
7213412021233
oct40515144644
912272076100
104382312868
11194977957a
12a23764830
1354abac54b
142d8032b1a
151a9ae3113
hex10534c9a4

4382312868 has 60 divisors (see below), whose sum is σ = 11479170780. Its totient is φ = 1457846208.

The previous prime is 4382312867. The next prime is 4382312917. The reversal of 4382312868 is 8682132834.

It can be written as a sum of positive squares in 2 ways, for example, as 4143239424 + 239073444 = 64368^2 + 15462^2 .

It is not an unprimeable number, because it can be changed into a prime (4382312863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 151630 + ... + 178202.

It is an arithmetic number, because the mean of its divisors is an integer number (191319513).

Almost surely, 24382312868 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 4382312868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5739585390).

4382312868 is an abundant number, since it is smaller than the sum of its proper divisors (7096857912).

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

4382312868 is a wasteful number, since it uses less digits than its factorization.

4382312868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27098 (or 27087 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 4382312868 is about 66199.0397815557. The cubic root of 4382312868 is about 1636.4439193035.

The spelling of 4382312868 in words is "four billion, three hundred eighty-two million, three hundred twelve thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 509 1018 1527 2036 3054 4581 6108 9162 13743 18324 26573 27486 41229 53146 54972 79719 82458 106292 159438 164916 239157 318876 478314 717471 956628 1434942 2152413 2869884 4304826 8609652 13525657 27051314 40576971 54102628 81153942 121730913 162307884 243461826 365192739 486923652 730385478 1095578217 1460770956 2191156434 4382312868