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52983700 = 22527211983
BaseRepresentation
bin1100101000011…
…1011110010100
310200200211222021
43022013132110
5102030434300
65131342524
71212232300
oct312073624
9120624867
1052983700
11279a9490
12158b1a44
13ac91503
147072d00
1549b8d1a
hex3287794

52983700 has 108 divisors (see below), whose sum is σ = 146053152. Its totient is φ = 16497600.

The previous prime is 52983673. The next prime is 52983719. The reversal of 52983700 is 738925.

52983700 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 35 ways as a sum of consecutive naturals, for example, 53409 + ... + 54391.

It is an arithmetic number, because the mean of its divisors is an integer number (1352344).

Almost surely, 252983700 is an apocalyptic number.

52983700 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52983700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73026576).

52983700 is an abundant number, since it is smaller than the sum of its proper divisors (93069452).

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

52983700 is a wasteful number, since it uses less digits than its factorization.

52983700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1022 (or 1008 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 34.

The square root of 52983700 is about 7278.9903145972. The cubic root of 52983700 is about 375.5900636387.

It can be divided in two parts, 52983 and 700, that multiplied together give a square (37088100 = 60902).

The spelling of 52983700 in words is "fifty-two million, nine hundred eighty-three thousand, seven hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 35 44 49 50 55 70 77 98 100 110 140 154 175 196 220 245 275 308 350 385 490 539 550 700 770 980 983 1078 1100 1225 1540 1925 1966 2156 2450 2695 3850 3932 4900 4915 5390 6881 7700 9830 10780 10813 13475 13762 19660 21626 24575 26950 27524 34405 43252 48167 49150 53900 54065 68810 75691 96334 98300 108130 137620 151382 172025 192668 216260 240835 270325 302764 344050 378455 481670 529837 540650 688100 756910 963340 1059674 1081300 1204175 1513820 1892275 2119348 2408350 2649185 3784550 4816700 5298370 7569100 10596740 13245925 26491850 52983700