Search a number
-
+
534210972 = 2232329312153
BaseRepresentation
bin11111110101110…
…110100110011100
31101020012201200120
4133311312212130
52043224222342
6125001554540
716144501251
oct3765664634
91336181616
10534210972
11254603679
1212aaa5a50
13868a2989
1450d3d428
1531d74aec
hex1fd7699c

534210972 has 96 divisors (see below), whose sum is σ = 1389588480. Its totient is φ = 159075840.

The previous prime is 534210967. The next prime is 534211021. The reversal of 534210972 is 279012435.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 247048 + ... + 249200.

It is an arithmetic number, because the mean of its divisors is an integer number (14474880).

Almost surely, 2534210972 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 534210972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (694794240).

534210972 is an abundant number, since it is smaller than the sum of its proper divisors (855377508).

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

534210972 is a wasteful number, since it uses less digits than its factorization.

534210972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2243 (or 2241 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 534210972 is about 23113.0043914676. The cubic root of 534210972 is about 811.4048536027.

The spelling of 534210972 in words is "five hundred thirty-four million, two hundred ten thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 12 23 29 31 46 58 62 69 87 92 93 116 124 138 174 186 276 348 372 667 713 899 1334 1426 1798 2001 2139 2153 2668 2697 2852 3596 4002 4278 4306 5394 6459 8004 8556 8612 10788 12918 20677 25836 41354 49519 62031 62437 66743 82708 99038 124062 124874 133486 148557 187311 198076 200229 248124 249748 266972 297114 374622 400458 594228 749244 800916 1436051 1535089 1935547 2872102 3070178 3871094 4308153 4605267 5744204 5806641 6140356 7742188 8616306 9210534 11613282 17232612 18421068 23226564 44517581 89035162 133552743 178070324 267105486 534210972