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5923149444 = 223210121272
BaseRepresentation
bin1011000010000110…
…00001011010000100
3120021210110011112100
411201003001122010
544112311240234
62415425352100
7266531640162
oct54103013204
916253404470
105923149444
11256a510933
121193798630
1373519c074
14402926232
1524a007399
hex1610c1684

5923149444 has 81 divisors (see below), whose sum is σ = 15242124261. Its totient is φ = 1939442400.

The previous prime is 5923149437. The next prime is 5923149473. The reversal of 5923149444 is 4449413295.

The square root of 5923149444 is 76962.

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

5923149444 is a `hidden beast` number, since 5 + 92 + 31 + 494 + 44 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5690891844 + 232257600 = 75438^2 + 15240^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 5923149444.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 46638909 + ... + 46639035.

Almost surely, 25923149444 is an apocalyptic number.

5923149444 is the 76962-nd square number.

It is an amenable number.

5923149444 is an abundant number, since it is smaller than the sum of its proper divisors (9318974817).

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

5923149444 is a wasteful number, since it uses less digits than its factorization.

5923149444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 233 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The cubic root of 5923149444 is about 1809.3290803169.

The spelling of 5923149444 in words is "five billion, nine hundred twenty-three million, one hundred forty-nine thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 101 127 202 254 303 381 404 508 606 762 909 1143 1212 1524 1818 2286 3636 4572 10201 12827 16129 20402 25654 30603 32258 38481 40804 48387 51308 61206 64516 76962 91809 96774 115443 122412 145161 153924 183618 193548 230886 290322 367236 461772 580644 1295527 1629029 2591054 3258058 3886581 4887087 5182108 6516116 7773162 9774174 11659743 14661261 15546324 19548348 23319486 29322522 46638972 58645044 164531929 329063858 493595787 658127716 987191574 1480787361 1974383148 2961574722 5923149444