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52770900 = 223527131933
BaseRepresentation
bin1100100101001…
…1100001010100
310200022001001210
43021103201110
5102002132100
65123021420
71210355010
oct311234124
9120261053
1052770900
1127873616
121580a870
13ac186b0
147019540
154975c50
hex3253854

52770900 has 144 divisors (see below), whose sum is σ = 188015744. Its totient is φ = 11128320.

The previous prime is 52770899. The next prime is 52770919. The reversal of 52770900 is 907725.

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 47 ways as a sum of consecutive naturals, for example, 26334 + ... + 28266.

Almost surely, 252770900 is an apocalyptic number.

52770900 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 52770900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94007872).

52770900 is an abundant number, since it is smaller than the sum of its proper divisors (135244844).

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

52770900 is a wasteful number, since it uses less digits than its factorization.

52770900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1970 (or 1963 counting only the distinct ones).

The product of its (nonzero) digits is 4410, while the sum is 30.

The square root of 52770900 is about 7264.3581960143. The cubic root of 52770900 is about 375.0865577969.

The spelling of 52770900 in words is "fifty-two million, seven hundred seventy thousand, nine hundred".

Divisors: 1 2 3 4 5 6 7 10 12 13 14 15 20 21 25 26 28 30 35 39 42 50 52 60 65 70 75 78 84 91 100 105 130 140 150 156 175 182 195 210 260 273 300 325 350 364 390 420 455 525 546 650 700 780 910 975 1050 1092 1300 1365 1820 1933 1950 2100 2275 2730 3866 3900 4550 5460 5799 6825 7732 9100 9665 11598 13531 13650 19330 23196 25129 27062 27300 28995 38660 40593 48325 50258 54124 57990 67655 75387 81186 96650 100516 115980 125645 135310 144975 150774 162372 175903 193300 202965 251290 270620 289950 301548 338275 351806 376935 405930 502580 527709 579900 628225 676550 703612 753870 811860 879515 1014825 1055418 1256450 1353100 1507740 1759030 1884675 2029650 2110836 2512900 2638545 3518060 3769350 4059300 4397575 5277090 7538700 8795150 10554180 13192725 17590300 26385450 52770900