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55824960 = 263558151
BaseRepresentation
bin1101010011110…
…1001001000000
310220001012110010
43110331021000
5103242344320
65312304520
71245334662
oct324751100
9126035403
1055824960
112956a134
1216842140
13b747829
1475b2532
154d7aae0
hex353d240

55824960 has 56 divisors (see below), whose sum is σ = 177247296. Its totient is φ = 14886400.

The previous prime is 55824959. The next prime is 55824973. The reversal of 55824960 is 6942855.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28116 + ... + 30035.

Almost surely, 255824960 is an apocalyptic number.

It is an amenable number.

55824960 is an abundant number, since it is smaller than the sum of its proper divisors (121422336).

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

55824960 is a wasteful number, since it uses less digits than its factorization.

55824960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58171 (or 58161 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 39.

The square root of 55824960 is about 7471.6102682086. The cubic root of 55824960 is about 382.1872020876.

The spelling of 55824960 in words is "fifty-five million, eight hundred twenty-four thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 58151 116302 174453 232604 290755 348906 465208 581510 697812 872265 930416 1163020 1395624 1744530 1860832 2326040 2791248 3489060 3721664 4652080 5582496 6978120 9304160 11164992 13956240 18608320 27912480 55824960