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52637340 = 22357235449
BaseRepresentation
bin1100100011001…
…0111010011100
310200001020212010
43020302322130
5101433343330
65120111220
71206260430
oct310627234
9120036763
1052637340
1127792238
1215765510
13ab9c972
146dc29c0
15494b3b0
hex3232e9c

52637340 has 96 divisors (see below), whose sum is σ = 175795200. Its totient is φ = 11506176.

The previous prime is 52637339. The next prime is 52637369. The reversal of 52637340 is 4373625.

52637340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 52637298 and 52637307.

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 31 ways as a sum of consecutive naturals, for example, 6936 + ... + 12384.

It is an arithmetic number, because the mean of its divisors is an integer number (1831200).

Almost surely, 252637340 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 52637340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87897600).

52637340 is an abundant number, since it is smaller than the sum of its proper divisors (123157860).

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

52637340 is a wasteful number, since it uses less digits than its factorization.

52637340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5491 (or 5489 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 30.

The square root of 52637340 is about 7255.1595433870. The cubic root of 52637340 is about 374.7698498891.

The spelling of 52637340 in words is "fifty-two million, six hundred thirty-seven thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 23 28 30 35 42 46 60 69 70 84 92 105 115 138 140 161 210 230 276 322 345 420 460 483 644 690 805 966 1380 1610 1932 2415 3220 4830 5449 9660 10898 16347 21796 27245 32694 38143 54490 65388 76286 81735 108980 114429 125327 152572 163470 190715 228858 250654 326940 375981 381430 457716 501308 572145 626635 751962 762860 877289 1144290 1253270 1503924 1754578 1879905 2288580 2506540 2631867 3509156 3759810 4386445 5263734 7519620 8772890 10527468 13159335 17545780 26318670 52637340