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55153800 = 233252132357
BaseRepresentation
bin1101001001100…
…1010010001000
310211210002210100
43102121102020
5103104410200
65250045400
71236541152
oct322312210
9124702710
1055153800
1129150959
1216579860
13b5711b0
147479ad2
154c96d00
hex3499488

55153800 has 144 divisors (see below), whose sum is σ = 199557540. Its totient is φ = 13570560.

The previous prime is 55153799. The next prime is 55153811. The reversal of 55153800 is 835155.

It can be written as a sum of positive squares in 6 ways, for example, as 4088484 + 51065316 = 2022^2 + 7146^2 .

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, 22222 + ... + 24578.

Almost surely, 255153800 is an apocalyptic number.

55153800 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 55153800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99778770).

55153800 is an abundant number, since it is smaller than the sum of its proper divisors (144403740).

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

55153800 is a wasteful number, since it uses less digits than its factorization.

55153800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2392 (or 2380 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The square root of 55153800 is about 7426.5604420889. The cubic root of 55153800 is about 380.6493974347.

Adding to 55153800 its reverse (835155), we get a palindrome (55988955).

The spelling of 55153800 in words is "fifty-five million, one hundred fifty-three thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 25 26 30 36 39 40 45 50 52 60 65 72 75 78 90 100 104 117 120 130 150 156 180 195 200 225 234 260 300 312 325 360 390 450 468 520 585 600 650 780 900 936 975 1170 1300 1560 1800 1950 2340 2357 2600 2925 3900 4680 4714 5850 7071 7800 9428 11700 11785 14142 18856 21213 23400 23570 28284 30641 35355 42426 47140 56568 58925 61282 70710 84852 91923 94280 106065 117850 122564 141420 153205 169704 176775 183846 212130 235700 245128 275769 282840 306410 353550 367692 424260 459615 471400 530325 551538 612820 707100 735384 766025 848520 919230 1060650 1103076 1225640 1378845 1414200 1532050 1838460 2121300 2206152 2298075 2757690 3064100 3676920 4242600 4596150 5515380 6128200 6894225 9192300 11030760 13788450 18384600 27576900 55153800