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55037500 = 225571737
BaseRepresentation
bin1101000111110…
…0111000111100
310211120012020221
43101330320330
5103042200000
65243351124
71235545120
oct321747074
9124505227
1055037500
1129081541
12165224a4
13b53028b
147449580
154c7261a
hex347ce3c

55037500 has 144 divisors (see below), whose sum is σ = 149615424. Its totient is φ = 17280000.

The previous prime is 55037497. The next prime is 55037513. The reversal of 55037500 is 573055.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1487482 + ... + 1487518.

It is an arithmetic number, because the mean of its divisors is an integer number (1038996).

Almost surely, 255037500 is an apocalyptic number.

55037500 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 55037500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74807712).

55037500 is an abundant number, since it is smaller than the sum of its proper divisors (94577924).

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

55037500 is a wasteful number, since it uses less digits than its factorization.

55037500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 2625, while the sum is 25.

The square root of 55037500 is about 7418.7263057751. The cubic root of 55037500 is about 380.3816571780.

The spelling of 55037500 in words is "fifty-five million, thirty-seven thousand, five hundred".

Divisors: 1 2 4 5 7 10 14 17 20 25 28 34 35 37 50 68 70 74 85 100 119 125 140 148 170 175 185 238 250 259 340 350 370 425 476 500 518 595 625 629 700 740 850 875 925 1036 1190 1250 1258 1295 1700 1750 1850 2125 2380 2500 2516 2590 2975 3125 3145 3500 3700 4250 4375 4403 4625 5180 5950 6250 6290 6475 8500 8750 8806 9250 10625 11900 12500 12580 12950 14875 15725 17500 17612 18500 21250 21875 22015 23125 25900 29750 31450 32375 42500 43750 44030 46250 53125 59500 62900 64750 74375 78625 87500 88060 92500 106250 110075 115625 129500 148750 157250 161875 212500 220150 231250 297500 314500 323750 371875 393125 440300 462500 550375 647500 743750 786250 809375 1100750 1487500 1572500 1618750 1965625 2201500 2751875 3237500 3931250 5503750 7862500 11007500 13759375 27518750 55037500