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55058700 = 22352223823
BaseRepresentation
bin1101001000001…
…0000100001100
310211121021100010
43102002010030
5103043334300
65244033220
71235663664
oct322020414
9124537303
1055058700
1129096464
1216532810
13b539b18
1474531a4
154c78a50
hex348210c

55058700 has 72 divisors (see below), whose sum is σ = 160211968. Its totient is φ = 14598720.

The previous prime is 55058687. The next prime is 55058719. The reversal of 55058700 is 785055.

It is a happy number.

It is a super-3 number, since 3×550587003 (a number of 24 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66489 + ... + 67311.

Almost surely, 255058700 is an apocalyptic number.

55058700 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 55058700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80105984).

55058700 is an abundant number, since it is smaller than the sum of its proper divisors (105153268).

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

55058700 is a wasteful number, since it uses less digits than its factorization.

55058700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1063 (or 1056 counting only the distinct ones).

The product of its (nonzero) digits is 7000, while the sum is 30.

The square root of 55058700 is about 7420.1549849043. The cubic root of 55058700 is about 380.4304908880.

The spelling of 55058700 in words is "fifty-five million, fifty-eight thousand, seven hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 223 300 446 669 823 892 1115 1338 1646 2230 2469 2676 3292 3345 4115 4460 4938 5575 6690 8230 9876 11150 12345 13380 16460 16725 20575 22300 24690 33450 41150 49380 61725 66900 82300 123450 183529 246900 367058 550587 734116 917645 1101174 1835290 2202348 2752935 3670580 4588225 5505870 9176450 11011740 13764675 18352900 27529350 55058700