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4538272284 = 22327131972911
BaseRepresentation
bin1000011101000000…
…01000101000011100
3102201021120010012200
410032200020220130
533243244203114
62030154531500
7220314451350
oct41640105034
912637503180
104538272284
111a19811157
12a67a36b90
135742b6b20
14310a2d460
151b864d409
hex10e808a1c

4538272284 has 144 divisors (see below), whose sum is σ = 14862382080. Its totient is φ = 1133896320.

The previous prime is 4538272283. The next prime is 4538272339. The reversal of 4538272284 is 4822728354.

4538272284 is a `hidden beast` number, since 45 + 382 + 7 + 228 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4538272283) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 25789 + ... + 98699.

Almost surely, 24538272284 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4538272284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7431191040).

4538272284 is an abundant number, since it is smaller than the sum of its proper divisors (10324109796).

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

4538272284 is a wasteful number, since it uses less digits than its factorization.

4538272284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72960 (or 72955 counting only the distinct ones).

The product of its digits is 860160, while the sum is 45.

The square root of 4538272284 is about 67366.7001121474. The cubic root of 4538272284 is about 1655.6308732333.

The spelling of 4538272284 in words is "four billion, five hundred thirty-eight million, two hundred seventy-two thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 19 21 26 28 36 38 39 42 52 57 63 76 78 84 91 114 117 126 133 156 171 182 228 234 247 252 266 273 342 364 399 468 494 532 546 684 741 798 819 988 1092 1197 1482 1596 1638 1729 2223 2394 2964 3276 3458 4446 4788 5187 6916 8892 10374 15561 20748 31122 62244 72911 145822 218733 291644 437466 510377 656199 874932 947843 1020754 1312398 1385309 1531131 1895686 2041508 2624796 2770618 2843529 3062262 3791372 4155927 4593393 5541236 5687058 6124524 6634901 8311854 8530587 9186786 9697163 11374116 12467781 13269802 16623708 17061174 18009017 18373572 19394326 19904703 24935562 26539604 29091489 34122348 36018034 38788652 39809406 49871124 54027051 58182978 59714109 72036068 79618812 87274467 108054102 116365956 119428218 126063119 162081153 174548934 216108204 238856436 252126238 324162306 349097868 378189357 504252476 648324612 756378714 1134568071 1512757428 2269136142 4538272284