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55042500 = 2235441179
BaseRepresentation
bin1101000111111…
…0000111000100
310211120110010010
43101332013010
5103042330000
65243430220
71235565522
oct321760704
9124513103
1055042500
1129085277
1216525370
13b532636
14744b312
154c73d50
hex347e1c4

55042500 has 120 divisors (see below), whose sum is σ = 165322080. Its totient is φ = 14240000.

The previous prime is 55042489. The next prime is 55042501. The reversal of 55042500 is 524055.

55042500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (55042501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 307411 + ... + 307589.

It is an arithmetic number, because the mean of its divisors is an integer number (1377684).

Almost surely, 255042500 is an apocalyptic number.

55042500 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 55042500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82661040).

55042500 is an abundant number, since it is smaller than the sum of its proper divisors (110279580).

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

55042500 is a wasteful number, since it uses less digits than its factorization.

55042500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 1000, while the sum is 21.

The square root of 55042500 is about 7419.0632831915. The cubic root of 55042500 is about 380.3931756923.

Adding to 55042500 its reverse (524055), we get a palindrome (55566555).

The spelling of 55042500 in words is "fifty-five million, forty-two thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 41 50 60 75 82 100 123 125 150 164 179 205 246 250 300 358 375 410 492 500 537 615 625 716 750 820 895 1025 1074 1230 1250 1500 1790 1875 2050 2148 2460 2500 2685 3075 3580 3750 4100 4475 5125 5370 6150 7339 7500 8950 10250 10740 12300 13425 14678 15375 17900 20500 22017 22375 25625 26850 29356 30750 36695 44034 44750 51250 53700 61500 67125 73390 76875 88068 89500 102500 110085 111875 134250 146780 153750 183475 220170 223750 268500 307500 335625 366950 440340 447500 550425 671250 733900 917375 1100850 1342500 1834750 2201700 2752125 3669500 4586875 5504250 9173750 11008500 13760625 18347500 27521250 55042500