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67628050 = 25272331271
BaseRepresentation
bin1000000011111…
…10110000010010
311201020212020121
410001332300102
5114303044200
610413300454
71450554220
oct401766022
9151225217
1067628050
11351a0a56
121a79472a
131101acc9
148da5b10
155e0ce1a
hex407ec12

67628050 has 96 divisors (see below), whose sum is σ = 155418624. Its totient is φ = 21384000.

The previous prime is 67628021. The next prime is 67628059. The reversal of 67628050 is 5082676.

It is a junction number, because it is equal to n+sod(n) for n = 67627997 and 67628015.

It is not an unprimeable number, because it can be changed into a prime (67628059) 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 47 ways as a sum of consecutive naturals, for example, 249415 + ... + 249685.

It is an arithmetic number, because the mean of its divisors is an integer number (1618944).

Almost surely, 267628050 is an apocalyptic number.

67628050 is an abundant number, since it is smaller than the sum of its proper divisors (87790574).

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

67628050 is a wasteful number, since it uses less digits than its factorization.

67628050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 34.

The square root of 67628050 is about 8223.6275450679. The cubic root of 67628050 is about 407.4199473898.

The spelling of 67628050 in words is "sixty-seven million, six hundred twenty-eight thousand, fifty".

Divisors: 1 2 5 7 10 14 23 25 31 35 46 50 62 70 115 155 161 175 217 230 271 310 322 350 434 542 575 713 775 805 1085 1150 1355 1426 1550 1610 1897 2170 2710 3565 3794 4025 4991 5425 6233 6775 7130 8050 8401 9485 9982 10850 12466 13550 16802 17825 18970 24955 31165 35650 42005 43631 47425 49910 58807 62330 84010 87262 94850 117614 124775 155825 193223 210025 218155 249550 294035 311650 386446 420050 436310 588070 966115 1090775 1352561 1470175 1932230 2181550 2705122 2940350 4830575 6762805 9661150 13525610 33814025 67628050