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526060096 = 26472612
BaseRepresentation
bin11111010110110…
…000101001000000
31100122212121210021
4133112300221000
52034132410341
6124111143224
716015302622
oct3726605100
91318777707
10526060096
1124aa46811
12128214b14
1384caa983
144dc1ac12
15312b49d1
hex1f5b0a40

526060096 has 63 divisors (see below), whose sum is σ = 1084355337. Its totient is φ = 253213440.

The previous prime is 526060091. The next prime is 526060099. The reversal of 526060096 is 690060625.

The square root of 526060096 is 22936.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 17106496 + 508953600 = 4136^2 + 22560^2 .

It is not an unprimeable number, because it can be changed into a prime (526060091) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 8623906 + ... + 8623966.

Almost surely, 2526060096 is an apocalyptic number.

526060096 is the 22936-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 526060096

526060096 is an abundant number, since it is smaller than the sum of its proper divisors (558295241).

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

526060096 is an frugal number, since it uses more digits than its factorization.

526060096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 34.

The cubic root of 526060096 is about 807.2569386695.

It can be divided in two parts, 5260 and 60096, that added together give a palindrome (65356).

The spelling of 526060096 in words is "five hundred twenty-six million, sixty thousand, ninety-six".

Divisors: 1 2 4 8 16 32 47 61 64 94 122 188 244 376 488 752 976 1504 1952 2209 2867 3008 3721 3904 4418 5734 7442 8836 11468 14884 17672 22936 29768 35344 45872 59536 70688 91744 119072 134749 141376 174887 183488 238144 269498 349774 538996 699548 1077992 1399096 2155984 2798192 4311968 5596384 8219689 8623936 11192768 16439378 32878756 65757512 131515024 263030048 526060096