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5229596448 = 253229718819
BaseRepresentation
bin1001101111011010…
…10100111100100000
3111111110102000200100
410313231110330200
541202234041243
62222532222400
7243410556606
oct46755247440
914443360610
105229596448
112243a7523a
12101b46aa00
136545a928b
14378789876
152091aa0d3
hex137b54f20

5229596448 has 144 divisors (see below), whose sum is σ = 15602932800. Its totient is φ = 1659194880.

The previous prime is 5229596381. The next prime is 5229596459. The reversal of 5229596448 is 8446959225.

5229596448 is a `hidden beast` number, since 5 + 2 + 2 + 9 + 596 + 4 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 5229596394 and 5229596403.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 588583 + ... + 597401.

It is an arithmetic number, because the mean of its divisors is an integer number (108353700).

Almost surely, 25229596448 is an apocalyptic number.

5229596448 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5229596448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7801466400).

5229596448 is an abundant number, since it is smaller than the sum of its proper divisors (10373336352).

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

5229596448 is a wasteful number, since it uses less digits than its factorization.

5229596448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8935 (or 8924 counting only the distinct ones).

The product of its digits is 6220800, while the sum is 54.

The square root of 5229596448 is about 72315.9487803348. The cubic root of 5229596448 is about 1735.7588663215.

The spelling of 5229596448 in words is "five billion, two hundred twenty-nine million, five hundred ninety-six thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 71 72 87 96 116 142 144 174 213 232 261 284 288 348 426 464 522 568 639 696 852 928 1044 1136 1278 1392 1704 2059 2088 2272 2556 2784 3408 4118 4176 5112 6177 6816 8236 8352 8819 10224 12354 16472 17638 18531 20448 24708 26457 32944 35276 37062 49416 52914 65888 70552 74124 79371 98832 105828 141104 148248 158742 197664 211656 255751 282208 296496 317484 423312 511502 592992 626149 634968 767253 846624 1023004 1252298 1269936 1534506 1878447 2046008 2301759 2504596 2539872 3069012 3756894 4092016 4603518 5009192 5635341 6138024 7513788 8184032 9207036 10018384 11270682 12276048 15027576 18158321 18414072 20036768 22541364 24552096 30055152 36316642 36828144 45082728 54474963 60110304 72633284 73656288 90165456 108949926 145266568 163424889 180330912 217899852 290533136 326849778 435799704 581066272 653699556 871599408 1307399112 1743198816 2614798224 5229596448