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529872 = 24371983
BaseRepresentation
bin10000001010111010000
3222220211220
42001113100
5113423442
615205040
74334550
oct2012720
9886756
10529872
11332112
12216780
13157245
14db160
15a6eec
hex815d0

529872 has 80 divisors (see below), whose sum is σ = 1666560. Its totient is φ = 141696.

The previous prime is 529871. The next prime is 529927. The reversal of 529872 is 278925.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is an alternating number because its digits alternate between odd and even.

Its product of digits (10080) is a multiple of the sum of its prime factors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (529871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6343 + ... + 6425.

It is an arithmetic number, because the mean of its divisors is an integer number (20832).

2529872 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 529872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (833280).

529872 is an abundant number, since it is smaller than the sum of its proper divisors (1136688).

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

529872 is a wasteful number, since it uses less digits than its factorization.

529872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 114 counting only the distinct ones).

The product of its digits is 10080, while the sum is 33.

The square root of 529872 is about 727.9230728587. The cubic root of 529872 is about 80.9202079654.

The spelling of 529872 in words is "five hundred twenty-nine thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 38 42 48 56 57 76 83 84 112 114 133 152 166 168 228 249 266 304 332 336 399 456 498 532 581 664 798 912 996 1064 1162 1328 1577 1596 1743 1992 2128 2324 3154 3192 3486 3984 4648 4731 6308 6384 6972 9296 9462 11039 12616 13944 18924 22078 25232 27888 33117 37848 44156 66234 75696 88312 132468 176624 264936 529872