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532858872 = 233713269907
BaseRepresentation
bin11111110000101…
…100011111111000
31101010200000221210
4133300230133320
52042402440442
6124513003120
716130140260
oct3760543770
91333600853
10532858872
1125386a837
1212a5534a0
138651b410
1450aaa7a0
1531ba919c
hex1fc2c7f8

532858872 has 128 divisors (see below), whose sum is σ = 1647475200. Its totient is φ = 139857408.

The previous prime is 532858849. The next prime is 532858889. The reversal of 532858872 is 278858235.

It is a super-2 number, since 2×5328588722 = 567877154938224768, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 587043 + ... + 587949.

It is an arithmetic number, because the mean of its divisors is an integer number (12870900).

Almost surely, 2532858872 is an apocalyptic number.

532858872 is a gapful number since it is divisible by the number (52) 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 532858872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (823737600).

532858872 is an abundant number, since it is smaller than the sum of its proper divisors (1114616328).

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

532858872 is a wasteful number, since it uses less digits than its factorization.

532858872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1205 (or 1201 counting only the distinct ones).

The product of its digits is 1075200, while the sum is 48.

The square root of 532858872 is about 23083.7360927559. The cubic root of 532858872 is about 810.7197139237.

The spelling of 532858872 in words is "five hundred thirty-two million, eight hundred fifty-eight thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 91 104 156 168 182 269 273 312 364 538 546 728 807 907 1076 1092 1614 1814 1883 2152 2184 2721 3228 3497 3628 3766 5442 5649 6349 6456 6994 7256 7532 10491 10884 11298 11791 12698 13988 15064 19047 20982 21768 22596 23582 24479 25396 27976 35373 38094 41964 45192 47164 48958 50792 70746 73437 76188 82537 83928 94328 97916 141492 146874 152376 165074 195832 243983 247611 282984 293748 330148 487966 495222 587496 660296 731949 975932 990444 1463898 1707881 1951864 1980888 2927796 3171779 3415762 5123643 5855592 6343558 6831524 9515337 10247286 12687116 13663048 19030674 20494572 22202453 25374232 38061348 40989144 44404906 66607359 76122696 88809812 133214718 177619624 266429436 532858872