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55438200 = 233252191621
BaseRepresentation
bin1101001101111…
…0101101111000
310212022112220200
43103132231320
5103143010300
65300122200
71242134256
oct323365570
9125275820
1055438200
11293255a4
1216696360
13b64078c
1475115d6
154d01200
hex34deb78

55438200 has 144 divisors (see below), whose sum is σ = 196099800. Its totient is φ = 13996800.

The previous prime is 55438183. The next prime is 55438217. The reversal of 55438200 is 283455.

It is an interprime number because it is at equal distance from previous prime (55438183) and next prime (55438217).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 33390 + ... + 35010.

Almost surely, 255438200 is an apocalyptic number.

55438200 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 55438200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98049900).

55438200 is an abundant number, since it is smaller than the sum of its proper divisors (140661600).

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

55438200 is a wasteful number, since it uses less digits than its factorization.

55438200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1662 (or 1650 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 55438200 is about 7445.6833131688. The cubic root of 55438200 is about 381.3025476258.

The spelling of 55438200 in words is "fifty-five million, four hundred thirty-eight thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 19 20 24 25 30 36 38 40 45 50 57 60 72 75 76 90 95 100 114 120 150 152 171 180 190 200 225 228 285 300 342 360 380 450 456 475 570 600 684 760 855 900 950 1140 1368 1425 1621 1710 1800 1900 2280 2850 3242 3420 3800 4275 4863 5700 6484 6840 8105 8550 9726 11400 12968 14589 16210 17100 19452 24315 29178 30799 32420 34200 38904 40525 48630 58356 61598 64840 72945 81050 92397 97260 116712 121575 123196 145890 153995 162100 184794 194520 243150 246392 277191 291780 307990 324200 364725 369588 461985 486300 554382 583560 615980 729450 739176 769975 923970 972600 1108764 1231960 1385955 1458900 1539950 1847940 2217528 2309925 2771910 2917800 3079900 3695880 4619850 5543820 6159800 6929775 9239700 11087640 13859550 18479400 27719100 55438200