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52642350 = 232521947131
BaseRepresentation
bin1100100011010…
…0001000101110
310200001111201200
43020310020232
5101434023400
65120150330
71206311145
oct310641056
9120044650
1052642350
1127795a82
12157683a6
13aba2027
146dc475c
15494cb00
hex323422e

52642350 has 144 divisors (see below), whose sum is σ = 153204480. Its totient is φ = 12916800.

The previous prime is 52642349. The next prime is 52642357. The reversal of 52642350 is 5324625.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52642357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 401785 + ... + 401915.

It is an arithmetic number, because the mean of its divisors is an integer number (1063920).

Almost surely, 252642350 is an apocalyptic number.

52642350 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 52642350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76602240).

52642350 is an abundant number, since it is smaller than the sum of its proper divisors (100562130).

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

52642350 is a wasteful number, since it uses less digits than its factorization.

52642350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 52642350 is about 7255.5048066968. The cubic root of 52642350 is about 374.7817396578.

Adding to 52642350 its reverse (5324625), we get a palindrome (57966975).

The spelling of 52642350 in words is "fifty-two million, six hundred forty-two thousand, three hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 19 25 30 38 45 47 50 57 75 90 94 95 114 131 141 150 171 190 225 235 262 282 285 342 393 423 450 470 475 570 655 705 786 846 855 893 950 1175 1179 1310 1410 1425 1710 1786 1965 2115 2350 2358 2489 2679 2850 3275 3525 3930 4230 4275 4465 4978 5358 5895 6157 6550 7050 7467 8037 8550 8930 9825 10575 11790 12314 12445 13395 14934 16074 18471 19650 21150 22325 22401 24890 26790 29475 30785 36942 37335 40185 44650 44802 55413 58950 61570 62225 66975 74670 80370 92355 110826 112005 116983 124450 133950 153925 184710 186675 200925 224010 233966 277065 307850 350949 373350 401850 461775 554130 560025 584915 701898 923550 1052847 1120050 1169830 1385325 1754745 2105694 2770650 2924575 3509490 5264235 5849150 8773725 10528470 17547450 26321175 52642350