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500480568 = 233275771721
BaseRepresentation
bin11101110101001…
…011101000111000
31021212202001021100
4131311023220320
52011110334233
6121355011400
715255005010
oct3565135070
91255661240
10500480568
11237565505
1211b739b60
137c8c2a63
144a67cc40
152de10813
hex1dd4ba38

500480568 has 96 divisors (see below), whose sum is σ = 1552692960. Its totient is φ = 142663680.

The previous prime is 500480557. The next prime is 500480641. The reversal of 500480568 is 865084005.

It is a happy number.

500480568 is a `hidden beast` number, since 50 + 0 + 48 + 0 + 568 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 289948 + ... + 291668.

It is an arithmetic number, because the mean of its divisors is an integer number (16173885).

Almost surely, 2500480568 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 500480568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (776346480).

500480568 is an abundant number, since it is smaller than the sum of its proper divisors (1052212392).

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

500480568 is a wasteful number, since it uses less digits than its factorization.

500480568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2317 (or 2310 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 500480568 is about 22371.4230213458. The cubic root of 500480568 is about 793.9547292764.

The spelling of 500480568 in words is "five hundred million, four hundred eighty thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 577 1154 1721 1731 2308 3442 3462 4039 4616 5163 5193 6884 6924 8078 10326 10386 12047 12117 13768 13848 15489 16156 20652 20772 24094 24234 30978 32312 36141 36351 41304 41544 48188 48468 61956 72282 72702 96376 96936 108423 123912 144564 145404 216846 289128 290808 433692 867384 993017 1986034 2979051 3972068 5958102 6951119 7944136 8937153 11916204 13902238 17874306 20853357 23832408 27804476 35748612 41706714 55608952 62560071 71497224 83413428 125120142 166826856 250240284 500480568