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528482052 = 223273127337
BaseRepresentation
bin11111011111111…
…111111100000100
31100211102200002100
4133133333330010
52040242411202
6124235112100
716045011000
oct3737777404
91324380070
10528482052
1125135042a
12128ba2630
1385648197
145028b700
15315e241c
hex1f7fff04

528482052 has 144 divisors (see below), whose sum is σ = 1574809600. Its totient is φ = 149361408.

The previous prime is 528482029. The next prime is 528482069. The reversal of 528482052 is 250284825.

528482052 is a `hidden beast` number, since 528 + 4 + 82 + 0 + 52 = 666.

It is a super-2 number, since 2×5284820522 = 558586558572261408, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 528481998 and 528482016.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1568028 + ... + 1568364.

Almost surely, 2528482052 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 528482052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (787404800).

528482052 is an abundant number, since it is smaller than the sum of its proper divisors (1046327548).

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

528482052 is a wasteful number, since it uses less digits than its factorization.

528482052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The square root of 528482052 is about 22988.7375033950. The cubic root of 528482052 is about 808.4938999933.

The spelling of 528482052 in words is "five hundred twenty-eight million, four hundred eighty-two thousand, fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 127 147 196 252 254 294 337 343 381 441 508 588 674 686 762 882 889 1011 1029 1143 1348 1372 1524 1764 1778 2022 2058 2286 2359 2667 3033 3087 3556 4044 4116 4572 4718 5334 6066 6174 6223 7077 8001 9436 10668 12132 12348 12446 14154 16002 16513 18669 21231 24892 28308 32004 33026 37338 42462 42799 43561 49539 56007 66052 74676 84924 85598 87122 99078 112014 115591 128397 130683 148617 171196 174244 198156 224028 231182 256794 261366 297234 299593 346773 385191 392049 462364 513588 522732 594468 599186 693546 770382 784098 898779 1040319 1198372 1387092 1540764 1568196 1797558 2080638 2097151 2696337 3595116 4161276 4194302 5392674 6291453 8388604 10785348 12582906 14680057 18874359 25165812 29360114 37748718 44040171 58720228 75497436 88080342 132120513 176160684 264241026 528482052