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525494016 = 2832613739
BaseRepresentation
bin11111010100100…
…110011100000000
31100121210212021100
4133110212130000
52034011302031
6124051054400
716010424345
oct3724463400
91317725240
10525494016
1124a69a483
12127ba1400
1384b40108
144db107cc
1531201de6
hex1f526700

525494016 has 108 divisors (see below), whose sum is σ = 1540378840. Its totient is φ = 172247040.

The previous prime is 525493973. The next prime is 525494029. The reversal of 525494016 is 610494525.

It is a super-2 number, since 2×5254940162 = 552287921703616512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 138675 + ... + 142413.

Almost surely, 2525494016 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 525494016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (770189420).

525494016 is an abundant number, since it is smaller than the sum of its proper divisors (1014884824).

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

525494016 is a wasteful number, since it uses less digits than its factorization.

525494016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3822 (or 3805 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 525494016 is about 22923.6562528755. The cubic root of 525494016 is about 806.9672784695.

It can be divided in two parts, 52549 and 4016, that added together give a palindrome (56565).

The spelling of 525494016 in words is "five hundred twenty-five million, four hundred ninety-four thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 61 64 72 96 122 128 144 183 192 244 256 288 366 384 488 549 576 732 768 976 1098 1152 1464 1952 2196 2304 2928 3739 3904 4392 5856 7478 7808 8784 11217 11712 14956 15616 17568 22434 23424 29912 33651 35136 44868 46848 59824 67302 70272 89736 119648 134604 140544 179472 228079 239296 269208 358944 456158 478592 538416 684237 717888 912316 957184 1076832 1368474 1435776 1824632 2052711 2153664 2736948 2871552 3649264 4105422 4307328 5473896 7298528 8210844 8614656 10947792 14597056 16421688 21895584 29194112 32843376 43791168 58388224 65686752 87582336 131373504 175164672 262747008 525494016