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527485336 = 23731417411
BaseRepresentation
bin11111011100001…
…100100110011000
31100202120000211221
4133130030212120
52040014012321
6124201501424
716033360060
oct3734144630
91322500757
10527485336
1125082a5a4
121287a1874
1385389601
14500ac3a0
1531496e41
hex1f70c998

527485336 has 64 divisors (see below), whose sum is σ = 1195407360. Its totient is φ = 213408000.

The previous prime is 527485319. The next prime is 527485349. The reversal of 527485336 is 633584725.

It is a junction number, because it is equal to n+sod(n) for n = 527485292 and 527485301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67471 + ... + 74881.

It is an arithmetic number, because the mean of its divisors is an integer number (18678240).

Almost surely, 2527485336 is an apocalyptic number.

527485336 is a gapful number since it is divisible by the number (56) 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 527485336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597703680).

527485336 is an abundant number, since it is smaller than the sum of its proper divisors (667922024).

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

527485336 is a wasteful number, since it uses less digits than its factorization.

527485336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7496 (or 7492 counting only the distinct ones).

The product of its digits is 604800, while the sum is 43.

The square root of 527485336 is about 22967.0489179607. The cubic root of 527485336 is about 807.9853075458.

The spelling of 527485336 in words is "five hundred twenty-seven million, four hundred eighty-five thousand, three hundred thirty-six".

Divisors: 1 2 4 7 8 14 28 31 41 56 62 82 124 164 217 248 287 328 434 574 868 1148 1271 1736 2296 2542 5084 7411 8897 10168 14822 17794 29644 35588 51877 59288 71176 103754 207508 229741 303851 415016 459482 607702 918964 1215404 1608187 1837928 2126957 2430808 3216374 4253914 6432748 8507828 9419381 12865496 17015656 18838762 37677524 65935667 75355048 131871334 263742668 527485336