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525248 = 2629283
BaseRepresentation
bin10000000001111000000
3222200111122
42000033000
5113301443
615131412
74315223
oct2001700
9880448
10525248
11329699
12213b68
131550c9
14d95ba
15a5968
hex803c0

525248 has 28 divisors (see below), whose sum is σ = 1082040. Its totient is φ = 252672.

The previous prime is 525247. The next prime is 525253. The reversal of 525248 is 842525.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a zygodrome in base 3.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 525248.

It is not an unprimeable number, because it can be changed into a prime (525241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1715 + ... + 1997.

2525248 is an apocalyptic number.

525248 is a gapful number since it is divisible by the number (58) 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 525248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541020).

525248 is an abundant number, since it is smaller than the sum of its proper divisors (556792).

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

525248 is a wasteful number, since it uses less digits than its factorization.

525248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 314 counting only the distinct ones).

The product of its digits is 3200, while the sum is 26.

The square root of 525248 is about 724.7399533626. The cubic root of 525248 is about 80.6841328509.

The spelling of 525248 in words is "five hundred twenty-five thousand, two hundred forty-eight".

Divisors: 1 2 4 8 16 29 32 58 64 116 232 283 464 566 928 1132 1856 2264 4528 8207 9056 16414 18112 32828 65656 131312 262624 525248