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52000704 = 263471433
BaseRepresentation
bin1100011001011…
…1011111000000
310121211220120000
43012113133000
5101303010304
65054320000
71200666360
oct306273700
9117756500
1052000704
1127397998
12154b9000
13aa08c62
146c989a0
154872939
hex31977c0

52000704 has 140 divisors (see below), whose sum is σ = 176290224. Its totient is φ = 14846976.

The previous prime is 52000699. The next prime is 52000709. The reversal of 52000704 is 40700025.

It is a happy number.

52000704 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (52000699) and next prime (52000709).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52000709) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 35572 + ... + 37004.

Almost surely, 252000704 is an apocalyptic number.

52000704 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52000704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88145112).

52000704 is an abundant number, since it is smaller than the sum of its proper divisors (124289520).

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

52000704 is a wasteful number, since it uses less digits than its factorization.

52000704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1464 (or 1445 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 52000704 is about 7211.1513643800. The cubic root of 52000704 is about 373.2528000894.

Adding to 52000704 its reverse (40700025), we get a palindrome (92700729).

The spelling of 52000704 in words is "fifty-two million, seven hundred four", and thus it is an aban number.

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 81 84 96 108 112 126 144 162 168 189 192 216 224 252 288 324 336 378 432 448 504 567 576 648 672 756 864 1008 1134 1296 1344 1433 1512 1728 2016 2268 2592 2866 3024 4032 4299 4536 5184 5732 6048 8598 9072 10031 11464 12096 12897 17196 18144 20062 22928 25794 30093 34392 36288 38691 40124 45856 51588 60186 68784 77382 80248 90279 91712 103176 116073 120372 137568 154764 160496 180558 206352 232146 240744 270837 275136 309528 320992 361116 412704 464292 481488 541674 619056 641984 722232 812511 825408 928584 962976 1083348 1238112 1444464 1625022 1857168 1925952 2166696 2476224 2888928 3250044 3714336 4333392 5777856 6500088 7428672 8666784 13000176 17333568 26000352 52000704