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525683340 = 2232571367479
BaseRepresentation
bin11111010101010…
…100101010001100
31100122011110222100
4133111110222030
52034033331330
6124055115100
716012143330
oct3725245214
91318143870
10525683340
1124a809746
12128072a90
1384ba8340
144db5d7c0
153123d060
hex1f554a8c

525683340 has 288 divisors, whose sum is σ = 1996001280. Its totient is φ = 109029888.

The previous prime is 525683329. The next prime is 525683357. The reversal of 525683340 is 43386525.

It is a happy number.

525683340 is a `hidden beast` number, since 52 + 568 + 3 + 3 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 525683295 and 525683304.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1097221 + ... + 1097699.

It is an arithmetic number, because the mean of its divisors is an integer number (6930560).

Almost surely, 2525683340 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 525683340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (998000640).

525683340 is an abundant number, since it is smaller than the sum of its proper divisors (1470317940).

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

525683340 is a wasteful number, since it uses less digits than its factorization.

525683340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 581 (or 576 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 525683340 is about 22927.7853269783. The cubic root of 525683340 is about 807.0641777201.

It can be divided in two parts, 525 and 683340, that added together give a triangular number (683865 = T1169).

The spelling of 525683340 in words is "five hundred twenty-five million, six hundred eighty-three thousand, three hundred forty".