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52374240 = 2532537983
BaseRepresentation
bin1100011111001…
…0101011100000
310122112212221200
43013302223200
5101401433430
65110321200
71204113402
oct307625340
9118485850
1052374240
11276225a6
1215659200
13ab09c99
146d54b72
1548e8460
hex31f2ae0

52374240 has 144 divisors (see below), whose sum is σ = 183744288. Its totient is φ = 13575168.

The previous prime is 52374239. The next prime is 52374251. The reversal of 52374240 is 4247325.

52374240 is a `hidden beast` number, since 5 + 237 + 424 + 0 = 666.

52374240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×523742402 = 5486122031155200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 52789 + ... + 53771.

It is an arithmetic number, because the mean of its divisors is an integer number (1276002).

Almost surely, 252374240 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 52374240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91872144).

52374240 is an abundant number, since it is smaller than the sum of its proper divisors (131370048).

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

52374240 is a wasteful number, since it uses less digits than its factorization.

52374240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1041 (or 1030 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 52374240 is about 7237.0049053459. The cubic root of 52374240 is about 374.1443959961.

The spelling of 52374240 in words is "fifty-two million, three hundred seventy-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 37 40 45 48 60 72 74 80 90 96 111 120 144 148 160 180 185 222 240 288 296 333 360 370 444 480 555 592 666 720 740 888 983 1110 1184 1332 1440 1480 1665 1776 1966 2220 2664 2949 2960 3330 3552 3932 4440 4915 5328 5898 5920 6660 7864 8847 8880 9830 10656 11796 13320 14745 15728 17694 17760 19660 23592 26640 29490 31456 35388 36371 39320 44235 47184 53280 58980 70776 72742 78640 88470 94368 109113 117960 141552 145484 157280 176940 181855 218226 235920 283104 290968 327339 353880 363710 436452 471840 545565 581936 654678 707760 727420 872904 1091130 1163872 1309356 1415520 1454840 1636695 1745808 2182260 2618712 2909680 3273390 3491616 4364520 5237424 5819360 6546780 8729040 10474848 13093560 17458080 26187120 52374240