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525317940 = 223357314483
BaseRepresentation
bin11111010011111…
…011011100110100
31100121110220202000
4133103323130310
52033440133230
6124043215300
716006062120
oct3723733464
91317426660
10525317940
1124a58a164
12127b17530
1384aaac24
144daa6580
15311b9b60
hex1f4fb734

525317940 has 192 divisors, whose sum is σ = 1928478720. Its totient is φ = 116173440.

The previous prime is 525317921. The next prime is 525317963. The reversal of 525317940 is 49713525.

525317940 is a `hidden beast` number, since 52 + 531 + 79 + 4 + 0 = 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 = 525317895 and 525317904.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 114939 + ... + 119421.

It is an arithmetic number, because the mean of its divisors is an integer number (10044160).

Almost surely, 2525317940 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 525317940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (964239360).

525317940 is an abundant number, since it is smaller than the sum of its proper divisors (1403160780).

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

525317940 is a wasteful number, since it uses less digits than its factorization.

525317940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4539 (or 4531 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 525317940 is about 22919.8154442831. The cubic root of 525317940 is about 806.8771388809.

The spelling of 525317940 in words is "five hundred twenty-five million, three hundred seventeen thousand, nine hundred forty".