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526505056 = 257111071997
BaseRepresentation
bin11111011000011…
…101010001100000
31100200201020011021
4133120131101200
52034241130211
6124124455224
716022135110
oct3730352140
91320636137
10526505056
11250220050
121283aa514
138510536c
144dcd5040
1531351771
hex1f61d460

526505056 has 96 divisors (see below), whose sum is σ = 1305061632. Its totient is φ = 203112960.

The previous prime is 526505053. The next prime is 526505069. The reversal of 526505056 is 650505625.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (526505053) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 262650 + ... + 264646.

It is an arithmetic number, because the mean of its divisors is an integer number (13594392).

Almost surely, 2526505056 is an apocalyptic number.

526505056 is a gapful number since it is divisible by the number (56) 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 526505056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (652530816).

526505056 is an abundant number, since it is smaller than the sum of its proper divisors (778556576).

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

526505056 is a wasteful number, since it uses less digits than its factorization.

526505056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2132 (or 2124 counting only the distinct ones).

The product of its (nonzero) digits is 45000, while the sum is 34.

The square root of 526505056 is about 22945.6979845896. The cubic root of 526505056 is about 807.4844765648.

The spelling of 526505056 in words is "five hundred twenty-six million, five hundred five thousand, fifty-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 107 112 154 176 214 224 308 352 428 616 749 856 1177 1232 1498 1712 1997 2354 2464 2996 3424 3994 4708 5992 7988 8239 9416 11984 13979 15976 16478 18832 21967 23968 27958 31952 32956 37664 43934 55916 63904 65912 87868 111832 131824 153769 175736 213679 223664 263648 307538 351472 427358 447328 615076 702944 854716 1230152 1495753 1709432 2350469 2460304 2991506 3418864 4700938 4920608 5983012 6837728 9401876 11966024 16453283 18803752 23932048 32906566 37607504 47864096 65813132 75215008 131626264 263252528 526505056