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44679390625 = 56192892
BaseRepresentation
bin101001100111000110…
…010110010110100001
311021022210011012200101
4221213012112112201
51213000411000000
632305254222401
73141124361032
oct514706262641
9137283135611
1044679390625
1117a48395521
1287ab054a01
1342a067875c
14223bc52a89
15126770ce6a
hexa671965a1

44679390625 has 63 divisors (see below), whose sum is σ = 59612342421. Its totient is φ = 33481800000.

The previous prime is 44679390617. The next prime is 44679390629. The reversal of 44679390625 is 52609397644.

The square root of 44679390625 is 211375.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 10 ways, for example, as 23585894929 + 21093495696 = 153577^2 + 145236^2 .

It is not a de Polignac number, because 44679390625 - 23 = 44679390617 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (44679390629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 502015581 + ... + 502015669.

Almost surely, 244679390625 is an apocalyptic number.

44679390625 is the 211375-th square number.

44679390625 is the 105688-th centered octagonal number.

It is an amenable number.

44679390625 is a deficient number, since it is larger than the sum of its proper divisors (14932951796).

44679390625 is an frugal number, since it uses more digits than its factorization.

44679390625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 55.

The spelling of 44679390625 in words is "forty-four billion, six hundred seventy-nine million, three hundred ninety thousand, six hundred twenty-five".

Divisors: 1 5 19 25 89 95 125 361 445 475 625 1691 1805 2225 2375 3125 7921 8455 9025 11125 11875 15625 32129 39605 42275 45125 55625 59375 150499 160645 198025 211375 225625 278125 296875 752495 803225 990125 1056875 1128125 1390625 2859481 3762475 4016125 4950625 5284375 5640625 14297405 18812375 20080625 24753125 26421875 71487025 94061875 100403125 123765625 357435125 470309375 502015625 1787175625 2351546875 8935878125 44679390625