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55975500 = 22325371777
BaseRepresentation
bin1101010110000…
…1111001001100
310220022211221200
43111201321030
5103312204000
65315425500
71246532610
oct325417114
9126284850
1055975500
1129662249
12168b5290
13b79b1c9
147611340
154daa500
hex3561e4c

55975500 has 144 divisors (see below), whose sum is σ = 201923904. Its totient is φ = 12787200.

The previous prime is 55975489. The next prime is 55975511. The reversal of 55975500 is 557955.

It is a happy number.

55975500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (55975489) and next prime (55975511).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 30612 + ... + 32388.

Almost surely, 255975500 is an apocalyptic number.

55975500 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 55975500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100961952).

55975500 is an abundant number, since it is smaller than the sum of its proper divisors (145948404).

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

55975500 is a wasteful number, since it uses less digits than its factorization.

55975500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1809 (or 1794 counting only the distinct ones).

The product of its (nonzero) digits is 39375, while the sum is 36.

The square root of 55975500 is about 7481.6776193578. The cubic root of 55975500 is about 382.5304345897.

The spelling of 55975500 in words is "fifty-five million, nine hundred seventy-five thousand, five hundred".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 25 28 30 35 36 42 45 50 60 63 70 75 84 90 100 105 125 126 140 150 175 180 210 225 250 252 300 315 350 375 420 450 500 525 630 700 750 875 900 1050 1125 1260 1500 1575 1750 1777 2100 2250 2625 3150 3500 3554 4500 5250 5331 6300 7108 7875 8885 10500 10662 12439 15750 15993 17770 21324 24878 26655 31500 31986 35540 37317 44425 49756 53310 62195 63972 74634 79965 88850 106620 111951 124390 133275 149268 159930 177700 186585 222125 223902 248780 266550 310975 319860 373170 399825 444250 447804 533100 559755 621950 666375 746340 799650 888500 932925 1119510 1243900 1332750 1554875 1599300 1865850 1999125 2239020 2665500 2798775 3109750 3731700 3998250 4664625 5597550 6219500 7996500 9329250 11195100 13993875 18658500 27987750 55975500