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52389120 = 283571949
BaseRepresentation
bin1100011111011…
…0010100000000
310122120122100210
43013312110000
5101402422440
65110514120
71204204650
oct307662400
9118518323
1052389120
11276327a3
1215665940
13ab139a4
146d5a360
1548eca80
hex31f6500

52389120 has 144 divisors (see below), whose sum is σ = 191318400. Its totient is φ = 11968512.

The previous prime is 52389091. The next prime is 52389133. The reversal of 52389120 is 2198325.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 25906 + ... + 27854.

It is an arithmetic number, because the mean of its divisors is an integer number (1328600).

Almost surely, 252389120 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 52389120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95659200).

52389120 is an abundant number, since it is smaller than the sum of its proper divisors (138929280).

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

52389120 is a wasteful number, since it uses less digits than its factorization.

52389120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1980 (or 1966 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 52389120 is about 7238.0328819369. The cubic root of 52389120 is about 374.1798252546.

The spelling of 52389120 in words is "fifty-two million, three hundred eighty-nine thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 128 140 160 168 192 210 224 240 256 280 320 336 384 420 448 480 560 640 672 768 840 896 960 1120 1280 1344 1680 1792 1920 1949 2240 2688 3360 3840 3898 4480 5376 5847 6720 7796 8960 9745 11694 13440 13643 15592 19490 23388 26880 27286 29235 31184 38980 40929 46776 54572 58470 62368 68215 77960 81858 93552 109144 116940 124736 136430 155920 163716 187104 204645 218288 233880 249472 272860 311840 327432 374208 409290 436576 467760 498944 545720 623680 654864 748416 818580 873152 935520 1091440 1247360 1309728 1496832 1637160 1746304 1871040 2182880 2494720 2619456 3274320 3492608 3742080 4365760 5238912 6548640 7484160 8731520 10477824 13097280 17463040 26194560 52389120