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52769340 = 22335137517
BaseRepresentation
bin1100100101001…
…1001000111100
310200021221221000
43021103020330
5102002104330
65123010300
71210350321
oct311231074
9120257830
1052769340
1127872428
1215809990
13ac17a80
147018b48
154975560
hex325323c

52769340 has 96 divisors (see below), whose sum is σ = 176823360. Its totient is φ = 12987648.

The previous prime is 52769329. The next prime is 52769341. The reversal of 52769340 is 4396725.

52769340 is a `hidden beast` number, since 527 + 6 + 93 + 40 = 666.

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 = 52769295 and 52769304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52769341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3262 + ... + 10778.

It is an arithmetic number, because the mean of its divisors is an integer number (1841910).

Almost surely, 252769340 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 52769340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88411680).

52769340 is an abundant number, since it is smaller than the sum of its proper divisors (124054020).

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

52769340 is a wasteful number, since it uses less digits than its factorization.

52769340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7548 (or 7540 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 52769340 is about 7264.2508216608. The cubic root of 52769340 is about 375.0828616892.

The spelling of 52769340 in words is "fifty-two million, seven hundred sixty-nine thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 90 108 117 130 135 156 180 195 234 260 270 351 390 468 540 585 702 780 1170 1404 1755 2340 3510 7020 7517 15034 22551 30068 37585 45102 67653 75170 90204 97721 112755 135306 150340 195442 202959 225510 270612 293163 338265 390884 405918 451020 488605 586326 676530 811836 879489 977210 1014795 1172652 1353060 1465815 1758978 1954420 2029590 2638467 2931630 3517956 4059180 4397445 5276934 5863260 8794890 10553868 13192335 17589780 26384670 52769340