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529480980 = 22325717191301
BaseRepresentation
bin11111100011110…
…011110100010100
31100220022102100200
4133203303310110
52041021342410
6124312340500
716056341220
oct3743636424
91326272320
10529480980
11251972996
121293a4730
1385907a72
145046b780
153173d3c0
hex1f8f3d14

529480980 has 288 divisors, whose sum is σ = 2047368960. Its totient is φ = 107827200.

The previous prime is 529480969. The next prime is 529480993. The reversal of 529480980 is 89084925.

529480980 is a `hidden beast` number, since 529 + 48 + 0 + 9 + 80 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 406330 + ... + 407630.

It is an arithmetic number, because the mean of its divisors is an integer number (7108920).

Almost surely, 2529480980 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 529480980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1023684480).

529480980 is an abundant number, since it is smaller than the sum of its proper divisors (1517887980).

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

529480980 is a wasteful number, since it uses less digits than its factorization.

529480980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1359 (or 1354 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 529480980 is about 23010.4537113026. The cubic root of 529480980 is about 809.0029799584.

The spelling of 529480980 in words is "five hundred twenty-nine million, four hundred eighty thousand, nine hundred eighty".