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439032961 = 41971011093
BaseRepresentation
bin11010001010110…
…001110010000001
31010121010012000001
4122022301302001
51344343023321
6111322000001
713610501323
oct3212616201
91117105001
10439032961
11205905a64
12103046001
136cc59c23
1442445613
1528823c91
hex1a2b1c81

439032961 has 16 divisors (see below), whose sum is σ = 459296208. Its totient is φ = 419328000.

The previous prime is 439032959. The next prime is 439033013. The reversal of 439032961 is 169230934.

It can be written as a sum of positive squares in 8 ways, for example, as 42823936 + 396209025 = 6544^2 + 19905^2 .

It is a cyclic number.

It is not a de Polignac number, because 439032961 - 21 = 439032959 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 439032961.

It is not an unprimeable number, because it can be changed into a prime (439032161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 401131 + ... + 402223.

It is an arithmetic number, because the mean of its divisors is an integer number (28706013).

Almost surely, 2439032961 is an apocalyptic number.

439032961 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

439032961 is a deficient number, since it is larger than the sum of its proper divisors (20263247).

439032961 is a wasteful number, since it uses less digits than its factorization.

439032961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1332.

The product of its (nonzero) digits is 34992, while the sum is 37.

The square root of 439032961 is about 20953.1133963428. The cubic root of 439032961 is about 760.0328708082.

It can be divided in two parts, 43903 and 2961, that added together give a palindrome (46864).

The spelling of 439032961 in words is "four hundred thirty-nine million, thirty-two thousand, nine hundred sixty-one".

Divisors: 1 41 97 101 1093 3977 4141 9797 44813 106021 110393 401677 4346861 4526113 10708121 439032961