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55012500 = 223355163
BaseRepresentation
bin1101000111011…
…0110010010100
310211111220222000
43101312302110
5103040400000
65243035300
71235412204
oct321666224
9124456860
1055012500
1129064784
121650bb30
13b521a9a
147440404
154c6a000
hex3476c94

55012500 has 144 divisors (see below), whose sum is σ = 179363520. Its totient is φ = 14580000.

The previous prime is 55012453. The next prime is 55012511. The reversal of 55012500 is 521055.

55012500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 47 ways as a sum of consecutive naturals, for example, 337419 + ... + 337581.

It is an arithmetic number, because the mean of its divisors is an integer number (1245580).

Almost surely, 255012500 is an apocalyptic number.

55012500 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 55012500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89681760).

55012500 is an abundant number, since it is smaller than the sum of its proper divisors (124351020).

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

55012500 is a wasteful number, since it uses less digits than its factorization.

55012500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 250, while the sum is 18.

The square root of 55012500 is about 7417.0411890457. The cubic root of 55012500 is about 380.3240541397.

Adding to 55012500 its reverse (521055), we get a palindrome (55533555).

It can be divided in two parts, 5501 and 2500, that added together give a triangular number (8001 = T126).

The spelling of 55012500 in words is "fifty-five million, twelve thousand, five hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 90 100 108 125 135 150 163 180 225 250 270 300 326 375 450 489 500 540 625 652 675 750 815 900 978 1125 1250 1350 1467 1500 1630 1875 1956 2250 2445 2500 2700 2934 3125 3260 3375 3750 4075 4401 4500 4890 5625 5868 6250 6750 7335 7500 8150 8802 9375 9780 11250 12225 12500 13500 14670 16300 16875 17604 18750 20375 22005 22500 24450 28125 29340 33750 36675 37500 40750 44010 48900 56250 61125 67500 73350 81500 84375 88020 101875 110025 112500 122250 146700 168750 183375 203750 220050 244500 305625 337500 366750 407500 440100 509375 550125 611250 733500 916875 1018750 1100250 1222500 1528125 1833750 2037500 2200500 2750625 3056250 3667500 4584375 5501250 6112500 9168750 11002500 13753125 18337500 27506250 55012500