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552070728 = 23351122347
BaseRepresentation
bin100000111001111…
…110111001001000
31102110211002200000
4200321332321020
52112312230403
6130440443000
716452344436
oct4071767110
91373732600
10552070728
112636a1a00
12134a79460
138a4b6b91
145346bd56
15337017a3
hex20e7ee48

552070728 has 144 divisors (see below), whose sum is σ = 1705070640. Its totient is φ = 167222880.

The previous prime is 552070693. The next prime is 552070741. The reversal of 552070728 is 827070255.

552070728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 552070692 and 552070701.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 234051 + ... + 236397.

Almost surely, 2552070728 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 552070728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (852535320).

552070728 is an abundant number, since it is smaller than the sum of its proper divisors (1152999912).

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

552070728 is a wasteful number, since it uses less digits than its factorization.

552070728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2390 (or 2363 counting only the distinct ones).

The product of its (nonzero) digits is 39200, while the sum is 36.

The square root of 552070728 is about 23496.1853925270. The cubic root of 552070728 is about 820.3482201393.

The spelling of 552070728 in words is "five hundred fifty-two million, seventy thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 81 88 99 108 121 132 162 198 216 242 243 264 297 324 363 396 484 486 594 648 726 792 891 968 972 1089 1188 1452 1782 1944 2178 2347 2376 2673 2904 3267 3564 4356 4694 5346 6534 7041 7128 8712 9388 9801 10692 13068 14082 18776 19602 21123 21384 25817 26136 28164 29403 39204 42246 51634 56328 58806 63369 77451 78408 84492 103268 117612 126738 154902 168984 190107 206536 232353 235224 253476 283987 309804 380214 464706 506952 567974 570321 619608 697059 760428 851961 929412 1135948 1140642 1394118 1520856 1703922 1858824 2091177 2271896 2281284 2555883 2788236 3407844 4182354 4562568 5111766 5576472 6273531 6815688 7667649 8364708 10223532 12547062 15335298 16729416 20447064 23002947 25094124 30670596 46005894 50188248 61341192 69008841 92011788 138017682 184023576 276035364 552070728