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55926990 = 23357127233
BaseRepresentation
bin1101010101011…
…0000011001110
310220020101102000
43111112003032
5103304130430
65314413130
71246241310
oct325260316
9126211360
1055926990
1129629859
12168911a6
13b7820c2
1475db7b0
154d9ae60
hex35560ce

55926990 has 128 divisors (see below), whose sum is σ = 172523520. Its totient is φ = 12628224.

The previous prime is 55926971. The next prime is 55927019. The reversal of 55926990 is 9962955.

55926990 is a `hidden beast` number, since 559 + 2 + 6 + 9 + 90 = 666.

55926990 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 (45).

It is a Curzon number.

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 63 ways as a sum of consecutive naturals, for example, 239914 + ... + 240146.

It is an arithmetic number, because the mean of its divisors is an integer number (1347840).

Almost surely, 255926990 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55926990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86261760).

55926990 is an abundant number, since it is smaller than the sum of its proper divisors (116596530).

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

55926990 is a wasteful number, since it uses less digits than its factorization.

55926990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 218700, while the sum is 45.

The square root of 55926990 is about 7478.4349967089. The cubic root of 55926990 is about 382.4198986439.

The spelling of 55926990 in words is "fifty-five million, nine hundred twenty-six thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 90 105 126 127 135 189 210 233 254 270 315 378 381 466 630 635 699 762 889 945 1143 1165 1270 1398 1631 1778 1890 1905 2097 2286 2330 2667 3262 3429 3495 3810 4194 4445 4893 5334 5715 6291 6858 6990 8001 8155 8890 9786 10485 11430 12582 13335 14679 16002 16310 17145 20970 24003 24465 26670 29358 29591 31455 34290 40005 44037 48006 48930 59182 62910 73395 80010 88074 88773 120015 146790 147955 177546 207137 220185 240030 266319 295910 414274 440370 443865 532638 621411 798957 887730 1035685 1242822 1331595 1597914 1864233 2071370 2663190 3107055 3728466 3994785 5592699 6214110 7989570 9321165 11185398 18642330 27963495 55926990