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527947380 = 223253119431
BaseRepresentation
bin11111011101111…
…101011001110100
31100210102111122200
4133131331121310
52040123304010
6124215424500
716040323122
oct3735753164
91323374580
10527947380
11251015754
12128985130
13854bb9cc
145018c912
1531538cc0
hex1f77d674

527947380 has 72 divisors (see below), whose sum is σ = 1606760064. Its totient is φ = 140318400.

The previous prime is 527947369. The next prime is 527947403. The reversal of 527947380 is 83749725.

527947380 is a `hidden beast` number, since 527 + 9 + 47 + 3 + 80 = 666.

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51265 + ... + 60695.

It is an arithmetic number, because the mean of its divisors is an integer number (22316112).

Almost surely, 2527947380 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 527947380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (803380032).

527947380 is an abundant number, since it is smaller than the sum of its proper divisors (1078812684).

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

527947380 is a wasteful number, since it uses less digits than its factorization.

527947380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9757 (or 9752 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 527947380 is about 22977.1055618413. The cubic root of 527947380 is about 808.2211534787.

The spelling of 527947380 in words is "five hundred twenty-seven million, nine hundred forty-seven thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 311 622 933 1244 1555 1866 2799 3110 3732 4665 5598 6220 9330 9431 11196 13995 18660 18862 27990 28293 37724 47155 55980 56586 84879 94310 113172 141465 169758 188620 282930 339516 424395 565860 848790 1697580 2933041 5866082 8799123 11732164 14665205 17598246 26397369 29330410 35196492 43995615 52794738 58660820 87991230 105589476 131986845 175982460 263973690 527947380