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55478500 = 22537112131
BaseRepresentation
bin1101001110100…
…0100011100100
310212101121012021
43103220203210
5103200303000
65301032524
71242362620
oct323504344
9125347167
1055478500
1129352900
12166b5744
13b655c1c
147522180
154d0d11a
hex34e88e4

55478500 has 144 divisors (see below), whose sum is σ = 153369216. Its totient is φ = 17160000.

The previous prime is 55478419. The next prime is 55478509. The reversal of 55478500 is 587455.

It is not an unprimeable number, because it can be changed into a prime (55478509) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 423435 + ... + 423565.

It is an arithmetic number, because the mean of its divisors is an integer number (1065064).

Almost surely, 255478500 is an apocalyptic number.

55478500 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 55478500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76684608).

55478500 is an abundant number, since it is smaller than the sum of its proper divisors (97890716).

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

55478500 is a wasteful number, since it uses less digits than its factorization.

55478500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 28000, while the sum is 34.

The square root of 55478500 is about 7448.3890875813. The cubic root of 55478500 is about 381.3949193760.

The spelling of 55478500 in words is "fifty-five million, four hundred seventy-eight thousand, five hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 35 44 50 55 70 77 100 110 121 125 131 140 154 175 220 242 250 262 275 308 350 385 484 500 524 550 605 655 700 770 847 875 917 1100 1210 1310 1375 1441 1540 1694 1750 1834 1925 2420 2620 2750 2882 3025 3275 3388 3500 3668 3850 4235 4585 5500 5764 6050 6550 7205 7700 8470 9170 9625 10087 12100 13100 14410 15125 15851 16375 16940 18340 19250 20174 21175 22925 28820 30250 31702 32750 36025 38500 40348 42350 45850 50435 60500 63404 65500 72050 79255 84700 91700 100870 105875 110957 114625 144100 158510 180125 201740 211750 221914 229250 252175 317020 360250 396275 423500 443828 458500 504350 554785 720500 792550 1008700 1109570 1260875 1585100 1981375 2219140 2521750 2773925 3962750 5043500 5547850 7925500 11095700 13869625 27739250 55478500