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530126448 = 2431923127199
BaseRepresentation
bin11111100110010…
…001011001110000
31100221112012202220
4133212101121300
52041203021243
6124334241040
716065000105
oct3746213160
91327465686
10530126448
11252273935
12129656180
1385aa27b7
1450598aac
1531819783
hex1f991670

530126448 has 160 divisors (see below), whose sum is σ = 1523712000. Its totient is φ = 158070528.

The previous prime is 530126423. The next prime is 530126449. The reversal of 530126448 is 844621035.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (530126449) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2663853 + ... + 2664051.

It is an arithmetic number, because the mean of its divisors is an integer number (9523200).

Almost surely, 2530126448 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 530126448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (761856000).

530126448 is an abundant number, since it is smaller than the sum of its proper divisors (993585552).

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

530126448 is a wasteful number, since it uses less digits than its factorization.

530126448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 530126448 is about 23024.4749777275. The cubic root of 530126448 is about 809.3315869700.

The spelling of 530126448 in words is "five hundred thirty million, one hundred twenty-six thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 23 24 38 46 48 57 69 76 92 114 127 138 152 184 199 228 254 276 304 368 381 398 437 456 508 552 597 762 796 874 912 1016 1104 1194 1311 1524 1592 1748 2032 2388 2413 2622 2921 3048 3184 3496 3781 4577 4776 4826 5244 5842 6096 6992 7239 7562 8763 9154 9552 9652 10488 11343 11684 13731 14478 15124 17526 18308 19304 20976 22686 23368 25273 27462 28956 30248 35052 36616 38608 45372 46736 50546 54924 55499 57912 60496 70104 73232 75819 86963 90744 101092 109848 110998 115824 140208 151638 166497 173926 181488 202184 219696 221996 260889 303276 332994 347852 404368 443992 480187 521778 581279 606552 665988 695704 887984 960374 1043556 1162558 1213104 1331976 1391408 1440561 1743837 1920748 2087112 2325116 2663952 2881122 3487674 3841496 4174224 4650232 5762244 6975348 7682992 9300464 11044301 11524488 13950696 22088602 23048976 27901392 33132903 44177204 66265806 88354408 132531612 176708816 265063224 530126448