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532252728 = 233371720707
BaseRepresentation
bin11111101110011…
…000100000111000
31101002112020111000
4133232120200320
52042224041403
6124452005000
716122034140
oct3756304070
91332466430
10532252728
11253496397
1212a300760
1386368557
145098d920
1531ad97a3
hex1fb98838

532252728 has 128 divisors (see below), whose sum is σ = 1789171200. Its totient is φ = 143119872.

The previous prime is 532252717. The next prime is 532252759. The reversal of 532252728 is 827252235.

It is a happy number.

532252728 is a `hidden beast` number, since 532 + 2 + 52 + 72 + 8 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 532252692 and 532252701.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15351 + ... + 36057.

It is an arithmetic number, because the mean of its divisors is an integer number (13977900).

Almost surely, 2532252728 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 532252728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (894585600).

532252728 is an abundant number, since it is smaller than the sum of its proper divisors (1256918472).

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

532252728 is a wasteful number, since it uses less digits than its factorization.

532252728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20746 (or 20736 counting only the distinct ones).

The product of its digits is 67200, while the sum is 36.

The square root of 532252728 is about 23070.6031130528. The cubic root of 532252728 is about 810.4121907585.

The spelling of 532252728 in words is "five hundred thirty-two million, two hundred fifty-two thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 17 18 21 24 27 28 34 36 42 51 54 56 63 68 72 84 102 108 119 126 136 153 168 189 204 216 238 252 306 357 378 408 459 476 504 612 714 756 918 952 1071 1224 1428 1512 1836 2142 2856 3213 3672 4284 6426 8568 12852 20707 25704 41414 62121 82828 124242 144949 165656 186363 248484 289898 352019 372726 434847 496968 559089 579796 704038 745452 869694 1056057 1118178 1159592 1304541 1408076 1490904 1739388 2112114 2236356 2464133 2609082 2816152 3168171 3478776 3913623 4224228 4472712 4928266 5218164 6336342 7392399 7827246 8448456 9504513 9856532 10436328 12672684 14784798 15654492 19009026 19713064 22177197 25345368 29569596 31308984 38018052 44354394 59139192 66531591 76036104 88708788 133063182 177417576 266126364 532252728