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4933376644 = 22722921732
BaseRepresentation
bin1001001100000110…
…10101101010000100
3110201211000111111111
410212003111222010
540100421023034
62133311214404
7233153003200
oct44603255204
913654014444
104933376644
112101842989
12b58217404
13608102ca1
1434b2bbb00
151dd196364
hex1260d5a84

4933376644 has 81 divisors (see below), whose sum is σ = 10461665487. Its totient is φ = 2029597248.

The previous prime is 4933376639. The next prime is 4933376689. The reversal of 4933376644 is 4466733394.

The square root of 4933376644 is 70238.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1152602500 + 3780774144 = 33950^2 + 61488^2 .

It is a super-2 number, since 2×49333766442 = 48676410223129405472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 28516542 + ... + 28516714.

Almost surely, 24933376644 is an apocalyptic number.

4933376644 is the 70238-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4933376644

4933376644 is an abundant number, since it is smaller than the sum of its proper divisors (5528288843).

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

4933376644 is a wasteful number, since it uses less digits than its factorization.

4933376644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 211 counting only the distinct ones).

The product of its digits is 3919104, while the sum is 49.

The cubic root of 4933376644 is about 1702.3470055425.

Multiplying 4933376644 by its sum of digits (49), we get a square (241735455556 = 4916662).

4933376644 divided by its sum of digits (49) gives a square (100681156 = 100342).

The spelling of 4933376644 in words is "four billion, nine hundred thirty-three million, three hundred seventy-six thousand, six hundred forty-four".

Divisors: 1 2 4 7 14 28 29 49 58 98 116 173 196 203 346 406 692 812 841 1211 1421 1682 2422 2842 3364 4844 5017 5684 5887 8477 10034 11774 16954 20068 23548 29929 33908 35119 41209 59858 70238 82418 119716 140476 145493 164836 209503 245833 290986 419006 491666 581972 838012 867941 983332 1018451 1466521 1735882 2036902 2933042 3471764 4073804 5866084 6075587 7129157 12151174 14258314 24302348 25170289 28516628 42529109 50340578 85058218 100681156 170116436 176192023 352384046 704768092 1233344161 2466688322 4933376644