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5426974224 = 2432728772
BaseRepresentation
bin1010000110111100…
…10000111000010000
3112000012210212002100
411003132100320100
542103301133344
62254302520400
7251325343200
oct50336207020
915005725070
105426974224
112335427071
121075596100
13686455b69
14396a88400
1521b697569
hex143790e10

5426974224 has 135 divisors (see below), whose sum is σ = 17687830797. Its totient is φ = 1548796032.

The previous prime is 5426974193. The next prime is 5426974279. The reversal of 5426974224 is 4224796245.

The square root of 5426974224 is 73668.

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

5426974224 is a `hidden beast` number, since 542 + 69 + 7 + 42 + 2 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4572464400 + 854509824 = 67620^2 + 29232^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 5426974224.

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, 6187674 + ... + 6188550.

Almost surely, 25426974224 is an apocalyptic number.

5426974224 is the 73668-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5426974224

5426974224 is an abundant number, since it is smaller than the sum of its proper divisors (12260856573).

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

5426974224 is an equidigital number, since it uses as much as digits as its factorization.

5426974224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1782 (or 889 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The cubic root of 5426974224 is about 1757.3270185948.

The spelling of 5426974224 in words is "five billion, four hundred twenty-six million, nine hundred seventy-four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 49 56 63 72 84 98 112 126 144 147 168 196 252 294 336 392 441 504 588 784 877 882 1008 1176 1754 1764 2352 2631 3508 3528 5262 6139 7016 7056 7893 10524 12278 14032 15786 18417 21048 24556 31572 36834 42096 42973 49112 55251 63144 73668 85946 98224 110502 126288 128919 147336 171892 221004 257838 294672 343784 386757 442008 515676 687568 769129 773514 884016 1031352 1538258 1547028 2062704 2307387 3076516 3094056 4614774 5383903 6153032 6188112 6922161 9229548 10767806 12306064 13844322 16151709 18459096 21535612 27688644 32303418 36918192 37687321 43071224 48455127 55377288 64606836 75374642 86142448 96910254 110754576 113061963 129213672 150749284 193820508 226123926 258427344 301498568 339185889 387641016 452247852 602997136 678371778 775282032 904495704 1356743556 1808991408 2713487112 5426974224