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55055400 = 23352891031
BaseRepresentation
bin1101001000000…
…1010000101000
310211121002210220
43102001100220
5103043233100
65244010040
71235651241
oct322012050
9124532726
1055055400
1129093a34
1216530920
13b53847a
147451cc8
154c77aa0
hex3481428

55055400 has 96 divisors (see below), whose sum is σ = 172756800. Its totient is φ = 14502400.

The previous prime is 55055387. The next prime is 55055417. The reversal of 55055400 is 455055.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 52885 + ... + 53915.

It is an arithmetic number, because the mean of its divisors is an integer number (1799550).

Almost surely, 255055400 is an apocalyptic number.

55055400 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 55055400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86378400).

55055400 is an abundant number, since it is smaller than the sum of its proper divisors (117701400).

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

55055400 is a wasteful number, since it uses less digits than its factorization.

55055400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1139 (or 1130 counting only the distinct ones).

The product of its (nonzero) digits is 2500, while the sum is 24.

The square root of 55055400 is about 7419.9326142493. The cubic root of 55055400 is about 380.4228902381.

It can be divided in two parts, 55055 and 400, that added together give a palindrome (55455).

The spelling of 55055400 in words is "fifty-five million, fifty-five thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 89 100 120 150 178 200 267 300 356 445 534 600 712 890 1031 1068 1335 1780 2062 2136 2225 2670 3093 3560 4124 4450 5155 5340 6186 6675 8248 8900 10310 10680 12372 13350 15465 17800 20620 24744 25775 26700 30930 41240 51550 53400 61860 77325 91759 103100 123720 154650 183518 206200 275277 309300 367036 458795 550554 618600 734072 917590 1101108 1376385 1835180 2202216 2293975 2752770 3670360 4587950 5505540 6881925 9175900 11011080 13763850 18351800 27527700 55055400