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55102128 = 24319311949
BaseRepresentation
bin1101001000110…
…0101010110000
310211200110220120
43102030222300
5103101232003
65245010240
71236234414
oct322145260
9124613816
1055102128
1129116054
1216553980
13b553813
147464d44
154c86853
hex348cab0

55102128 has 80 divisors (see below), whose sum is σ = 154752000. Its totient is φ = 16830720.

The previous prime is 55102121. The next prime is 55102129. The reversal of 55102128 is 82120155.

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

It is a junction number, because it is equal to n+sod(n) for n = 55102098 and 55102107.

It is not an unprimeable number, because it can be changed into a prime (55102121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27298 + ... + 29246.

It is an arithmetic number, because the mean of its divisors is an integer number (1934400).

Almost surely, 255102128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55102128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77376000).

55102128 is an abundant number, since it is smaller than the sum of its proper divisors (99649872).

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

55102128 is a wasteful number, since it uses less digits than its factorization.

55102128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2010 (or 2004 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 24.

The square root of 55102128 is about 7423.0807620556. The cubic root of 55102128 is about 380.5304871555.

55102128 divided by its sum of digits (24) gives a palindrome (2295922).

The spelling of 55102128 in words is "fifty-five million, one hundred two thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 31 38 48 57 62 76 93 114 124 152 186 228 248 304 372 456 496 589 744 912 1178 1488 1767 1949 2356 3534 3898 4712 5847 7068 7796 9424 11694 14136 15592 23388 28272 31184 37031 46776 60419 74062 93552 111093 120838 148124 181257 222186 241676 296248 362514 444372 483352 592496 725028 888744 966704 1147961 1450056 1777488 2295922 2900112 3443883 4591844 6887766 9183688 13775532 18367376 27551064 55102128