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55441200 = 2435247983
BaseRepresentation
bin1101001101111…
…1011100110000
310212022201000210
43103133130300
5103143104300
65300144120
71242146103
oct323373460
9125281023
1055441200
1129327881
1216698040
13b641c59
14751273a
154d02050
hex34df730

55441200 has 120 divisors (see below), whose sum is σ = 181559808. Its totient is φ = 14455040.

The previous prime is 55441181. The next prime is 55441213. The reversal of 55441200 is 214455.

It is a tau number, because it is divible by the number of its divisors (120).

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, 55909 + ... + 56891.

Almost surely, 255441200 is an apocalyptic number.

55441200 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 55441200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90779904).

55441200 is an abundant number, since it is smaller than the sum of its proper divisors (126118608).

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

55441200 is a wasteful number, since it uses less digits than its factorization.

55441200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1051 (or 1040 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

The square root of 55441200 is about 7445.8847694549. The cubic root of 55441200 is about 381.3094254766.

Adding to 55441200 its reverse (214455), we get a palindrome (55655655).

The spelling of 55441200 in words is "fifty-five million, four hundred forty-one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 47 48 50 60 75 80 94 100 120 141 150 188 200 235 240 282 300 376 400 470 564 600 705 752 940 983 1128 1175 1200 1410 1880 1966 2256 2350 2820 2949 3525 3760 3932 4700 4915 5640 5898 7050 7864 9400 9830 11280 11796 14100 14745 15728 18800 19660 23592 24575 28200 29490 39320 46201 47184 49150 56400 58980 73725 78640 92402 98300 117960 138603 147450 184804 196600 231005 235920 277206 294900 369608 393200 462010 554412 589800 693015 739216 924020 1108824 1155025 1179600 1386030 1848040 2217648 2310050 2772060 3465075 3696080 4620100 5544120 6930150 9240200 11088240 13860300 18480400 27720600 55441200