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82289250 = 2335373167
BaseRepresentation
bin1001110011110…
…10001001100010
312201211201122000
410321322021202
5132031224000
612055424430
72016306231
oct471721142
9181751560
1082289250
11424a514a
1223685116
1314082384
14ad00b18
157357000
hex4e7a262

82289250 has 128 divisors (see below), whose sum is σ = 232727040. Its totient is φ = 21513600.

The previous prime is 82289237. The next prime is 82289267. The reversal of 82289250 is 5298228.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 492667 + ... + 492833.

It is an arithmetic number, because the mean of its divisors is an integer number (1818180).

Almost surely, 282289250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82289250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116363520).

82289250 is an abundant number, since it is smaller than the sum of its proper divisors (150437790).

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

82289250 is a wasteful number, since it uses less digits than its factorization.

82289250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 82289250 is about 9071.3422380594. The cubic root of 82289250 is about 434.9583788953.

The spelling of 82289250 in words is "eighty-two million, two hundred eighty-nine thousand, two hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 73 75 90 125 135 146 150 167 219 225 250 270 334 365 375 438 450 501 657 675 730 750 835 1002 1095 1125 1314 1350 1503 1670 1825 1971 2190 2250 2505 3006 3285 3375 3650 3942 4175 4509 5010 5475 6570 6750 7515 8350 9018 9125 9855 10950 12191 12525 15030 16425 18250 19710 20875 22545 24382 25050 27375 32850 36573 37575 41750 45090 49275 54750 60955 62625 73146 75150 82125 98550 109719 112725 121910 125250 164250 182865 187875 219438 225450 246375 304775 329157 365730 375750 492750 548595 563625 609550 658314 914325 1097190 1127250 1523875 1645785 1828650 2742975 3047750 3291570 4571625 5485950 8228925 9143250 13714875 16457850 27429750 41144625 82289250