Search a number
-
+
536525016 = 233412292381
BaseRepresentation
bin11111111110101…
…011100011011000
31101101120021221220
4133332223203120
52044322300031
6125123332040
716203246606
oct3776534330
91341507856
10536525016
11255944205
1212b821020
1387203031
1451382876
1532180596
hex1ffab8d8

536525016 has 64 divisors (see below), whose sum is σ = 1380607200. Its totient is φ = 173644800.

The previous prime is 536525009. The next prime is 536525023. The reversal of 536525016 is 610525635.

It is an interprime number because it is at equal distance from previous prime (536525009) and next prime (536525023).

It is a super-3 number, since 3×5365250163 (a number of 27 digits) contains 333 as substring.

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 15 ways as a sum of consecutive naturals, for example, 224146 + ... + 226526.

Almost surely, 2536525016 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 536525016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (690303600).

536525016 is an abundant number, since it is smaller than the sum of its proper divisors (844082184).

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

536525016 is a wasteful number, since it uses less digits than its factorization.

536525016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2660 (or 2656 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 33.

The square root of 536525016 is about 23163.0096490072. The cubic root of 536525016 is about 812.5747546525.

It can be divided in two parts, 5365 and 25016, that added together give a triangular number (30381 = T246).

The spelling of 536525016 in words is "five hundred thirty-six million, five hundred twenty-five thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 24 41 82 123 164 229 246 328 458 492 687 916 984 1374 1832 2381 2748 4762 5496 7143 9389 9524 14286 18778 19048 28167 28572 37556 56334 57144 75112 97621 112668 195242 225336 292863 390484 545249 585726 780968 1090498 1171452 1635747 2180996 2342904 3271494 4361992 6542988 13085976 22355209 44710418 67065627 89420836 134131254 178841672 268262508 536525016