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52677000 = 2333531951
BaseRepresentation
bin1100100011110…
…0100110001000
310200010021021000
43020330212020
5101441131000
65121015000
71206514155
oct310744610
9120107230
1052677000
112780a012
1215784460
13abb4a2c
146dd322c
154958000
hex323c988

52677000 has 128 divisors (see below), whose sum is σ = 182707200. Its totient is φ = 14040000.

The previous prime is 52676993. The next prime is 52677017. The reversal of 52677000 is 77625.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 31 ways as a sum of consecutive naturals, for example, 26025 + ... + 27975.

It is an arithmetic number, because the mean of its divisors is an integer number (1427400).

Almost surely, 252677000 is an apocalyptic number.

52677000 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 52677000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91353600).

52677000 is an abundant number, since it is smaller than the sum of its proper divisors (130030200).

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

52677000 is a wasteful number, since it uses less digits than its factorization.

52677000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1981 (or 1961 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 52677000 is about 7257.8922560203. The cubic root of 52677000 is about 374.8639506475.

The spelling of 52677000 in words is "fifty-two million, six hundred seventy-seven thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 27 30 36 40 45 50 54 60 72 75 90 100 108 120 125 135 150 180 200 216 225 250 270 300 360 375 450 500 540 600 675 750 900 1000 1080 1125 1350 1500 1800 1951 2250 2700 3000 3375 3902 4500 5400 5853 6750 7804 9000 9755 11706 13500 15608 17559 19510 23412 27000 29265 35118 39020 46824 48775 52677 58530 70236 78040 87795 97550 105354 117060 140472 146325 175590 195100 210708 234120 243875 263385 292650 351180 390200 421416 438975 487750 526770 585300 702360 731625 877950 975500 1053540 1170600 1316925 1463250 1755900 1951000 2107080 2194875 2633850 2926500 3511800 4389750 5267700 5853000 6584625 8779500 10535400 13169250 17559000 26338500 52677000