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55126008 = 233574051
BaseRepresentation
bin1101001001001…
…0011111111000
310211201200200000
43102102133320
5103103013013
65245313000
71236364140
oct322223770
9124650600
1055126008
1129131a93
1216565760
13b561652
14746d920
154c8d973
hex34927f8

55126008 has 96 divisors (see below), whose sum is σ = 176991360. Its totient is φ = 15746400.

The previous prime is 55125991. The next prime is 55126031. The reversal of 55126008 is 80062155.

55126008 is a `hidden beast` number, since 5 + 51 + 2 + 600 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 11583 + ... + 15633.

It is an arithmetic number, because the mean of its divisors is an integer number (1843660).

Almost surely, 255126008 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 55126008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88495680).

55126008 is an abundant number, since it is smaller than the sum of its proper divisors (121865352).

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

55126008 is a wasteful number, since it uses less digits than its factorization.

55126008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4079 (or 4063 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 55126008 is about 7424.6890843994. The cubic root of 55126008 is about 380.5854502817.

The spelling of 55126008 in words is "fifty-five million, one hundred twenty-six thousand, eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 108 126 162 168 189 216 243 252 324 378 486 504 567 648 756 972 1134 1512 1701 1944 2268 3402 4051 4536 6804 8102 12153 13608 16204 24306 28357 32408 36459 48612 56714 72918 85071 97224 109377 113428 145836 170142 218754 226856 255213 291672 328131 340284 437508 510426 656262 680568 765639 875016 984393 1020852 1312524 1531278 1968786 2041704 2296917 2625048 3062556 3937572 4593834 6125112 6890751 7875144 9187668 13781502 18375336 27563004 55126008