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55418820 = 223519173281
BaseRepresentation
bin1101001101100…
…1111111000100
310212021120022220
43103121333010
5103141400240
65255452340
71242023622
oct323317704
9125246286
1055418820
1129311a86
12166870b0
13b634a02
147508512
154cea5d0
hex34d9fc4

55418820 has 96 divisors (see below), whose sum is σ = 164868480. Its totient is φ = 13870080.

The previous prime is 55418819. The next prime is 55418833. The reversal of 55418820 is 2881455.

It is a super-2 number, since 2×554188202 = 6142491220384800, which contains 22 as substring.

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, 197080 + ... + 197360.

It is an arithmetic number, because the mean of its divisors is an integer number (1717380).

Almost surely, 255418820 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 55418820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82434240).

55418820 is an abundant number, since it is smaller than the sum of its proper divisors (109449660).

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

55418820 is a wasteful number, since it uses less digits than its factorization.

55418820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 33.

The square root of 55418820 is about 7444.3817741972. The cubic root of 55418820 is about 381.2581107295.

The spelling of 55418820 in words is "fifty-five million, four hundred eighteen thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 173 190 228 281 285 346 380 519 562 570 692 843 865 1038 1124 1140 1405 1686 1730 2076 2595 2810 3287 3372 3460 4215 5190 5339 5620 6574 8430 9861 10380 10678 13148 16017 16435 16860 19722 21356 26695 32034 32870 39444 48613 49305 53390 64068 65740 80085 97226 98610 106780 145839 160170 194452 197220 243065 291678 320340 486130 583356 729195 923647 972260 1458390 1847294 2770941 2916780 3694588 4618235 5541882 9236470 11083764 13854705 18472940 27709410 55418820