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52469280 = 2532583439
BaseRepresentation
bin1100100000100…
…1111000100000
310122201201022200
43020021320200
5101413004110
65112333200
71204660443
oct310117040
9118651280
1052469280
1127687a46
12156a4200
13ab41316
146d7b65a
1549166c0
hex3209e20

52469280 has 144 divisors (see below), whose sum is σ = 181621440. Its totient is φ = 13791744.

The previous prime is 52469273. The next prime is 52469281. The reversal of 52469280 is 8296425.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×524692803 (a number of 24 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (52469281) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 119301 + ... + 119739.

It is an arithmetic number, because the mean of its divisors is an integer number (1261260).

Almost surely, 252469280 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 52469280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90810720).

52469280 is an abundant number, since it is smaller than the sum of its proper divisors (129152160).

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

52469280 is a wasteful number, since it uses less digits than its factorization.

52469280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 52469280 is about 7243.5681814973. The cubic root of 52469280 is about 374.3705707747.

The spelling of 52469280 in words is "fifty-two million, four hundred sixty-nine thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 83 90 96 120 144 160 166 180 240 249 288 332 360 415 439 480 498 664 720 747 830 878 996 1245 1317 1328 1440 1494 1660 1756 1992 2195 2490 2634 2656 2988 3320 3512 3735 3951 3984 4390 4980 5268 5976 6585 6640 7024 7470 7902 7968 8780 9960 10536 11952 13170 13280 14048 14940 15804 17560 19755 19920 21072 23904 26340 29880 31608 35120 36437 39510 39840 42144 52680 59760 63216 70240 72874 79020 105360 109311 119520 126432 145748 158040 182185 210720 218622 291496 316080 327933 364370 437244 546555 582992 632160 655866 728740 874488 1093110 1165984 1311732 1457480 1639665 1748976 2186220 2623464 2914960 3279330 3497952 4372440 5246928 5829920 6558660 8744880 10493856 13117320 17489760 26234640 52469280