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53489920 = 2851129131
BaseRepresentation
bin1100110000001…
…1000100000000
310201122120101011
43030003010000
5102143134140
65150250304
71216441201
oct314030400
9121576334
1053489920
1128214850
1215ab6994
13b10aa53
1471655a8
154a68cea
hex3303100

53489920 has 144 divisors (see below), whose sum is σ = 145696320. Its totient is φ = 18636800.

The previous prime is 53489861. The next prime is 53489941. The reversal of 53489920 is 2998435.

It is a happy number.

It is a super-2 number, since 2×534899202 = 5722343083212800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 408255 + ... + 408385.

It is an arithmetic number, because the mean of its divisors is an integer number (1011780).

Almost surely, 253489920 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 53489920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72848160).

53489920 is an abundant number, since it is smaller than the sum of its proper divisors (92206400).

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

53489920 is a wasteful number, since it uses less digits than its factorization.

53489920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 40.

The square root of 53489920 is about 7313.6803320900. The cubic root of 53489920 is about 376.7824358514.

The spelling of 53489920 in words is "fifty-three million, four hundred eighty-nine thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 29 32 40 44 55 58 64 80 88 110 116 128 131 145 160 176 220 232 256 262 290 319 320 352 440 464 524 580 638 640 655 704 880 928 1048 1160 1276 1280 1310 1408 1441 1595 1760 1856 2096 2320 2552 2620 2816 2882 3190 3520 3712 3799 4192 4640 5104 5240 5764 6380 7040 7205 7424 7598 8384 9280 10208 10480 11528 12760 14080 14410 15196 16768 18560 18995 20416 20960 23056 25520 28820 30392 33536 37120 37990 40832 41789 41920 46112 51040 57640 60784 75980 81664 83578 83840 92224 102080 115280 121568 151960 167156 167680 184448 204160 208945 230560 243136 303920 334312 368896 408320 417890 461120 486272 607840 668624 835780 922240 972544 1215680 1337248 1671560 1844480 2431360 2674496 3343120 4862720 5348992 6686240 10697984 13372480 26744960 53489920