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55558440 = 2333577349
BaseRepresentation
bin1101001111110…
…0000100101000
310212112122212000
43103330010220
5103210332230
65302451000
71243144650
oct323740450
9125478760
1055558440
11293a7973
1216733a60
13b683422
147543360
154d26b60
hex34fc128

55558440 has 128 divisors (see below), whose sum is σ = 211680000. Its totient is φ = 12697344.

The previous prime is 55558429. The next prime is 55558483. The reversal of 55558440 is 4485555.

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

It is a junction number, because it is equal to n+sod(n) for n = 55558395 and 55558404.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3886 + ... + 11234.

It is an arithmetic number, because the mean of its divisors is an integer number (1653750).

Almost surely, 255558440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55558440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105840000).

55558440 is an abundant number, since it is smaller than the sum of its proper divisors (156121560).

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

55558440 is a wasteful number, since it uses less digits than its factorization.

55558440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7376 (or 7366 counting only the distinct ones).

The product of its (nonzero) digits is 80000, while the sum is 36.

The square root of 55558440 is about 7453.7534169035. The cubic root of 55558440 is about 381.5780177994.

The spelling of 55558440 in words is "fifty-five million, five hundred fifty-eight thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 27 28 30 35 36 40 42 45 54 56 60 63 70 72 84 90 105 108 120 126 135 140 168 180 189 210 216 252 270 280 315 360 378 420 504 540 630 756 840 945 1080 1260 1512 1890 2520 3780 7349 7560 14698 22047 29396 36745 44094 51443 58792 66141 73490 88188 102886 110235 132282 146980 154329 176376 198423 205772 220470 257215 264564 293960 308658 330705 396846 411544 440940 462987 514430 529128 617316 661410 771645 793692 881880 925974 992115 1028860 1234632 1322820 1388961 1543290 1587384 1851948 1984230 2057720 2314935 2645640 2777922 3086580 3703896 3968460 4629870 5555844 6173160 6944805 7936920 9259740 11111688 13889610 18519480 27779220 55558440