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82888650 = 23352134723
BaseRepresentation
bin1001111000011…
…00011111001010
312202222011212000
410330030133022
5132204414100
612120331430
72024353605
oct474143712
9182864760
1082888650
1142874519
1223913b76
1314232150
14b01933c
157424900
hex4f0c7ca

82888650 has 96 divisors (see below), whose sum is σ = 246025920. Its totient is φ = 20399040.

The previous prime is 82888639. The next prime is 82888667. The reversal of 82888650 is 5688828.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 82888596 and 82888605.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15189 + ... + 19911.

It is an arithmetic number, because the mean of its divisors is an integer number (2562770).

Almost surely, 282888650 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82888650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123012960).

82888650 is an abundant number, since it is smaller than the sum of its proper divisors (163137270).

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

82888650 is a wasteful number, since it uses less digits than its factorization.

82888650 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4757 (or 4746 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The square root of 82888650 is about 9104.3204029735. The cubic root of 82888650 is about 436.0119129534.

It can be divided in two parts, 82888 and 650, that added together give a palindrome (83538).

The spelling of 82888650 in words is "eighty-two million, eight hundred eighty-eight thousand, six hundred fifty".

Divisors: 1 2 3 5 6 9 10 13 15 18 25 26 27 30 39 45 50 54 65 75 78 90 117 130 135 150 195 225 234 270 325 351 390 450 585 650 675 702 975 1170 1350 1755 1950 2925 3510 4723 5850 8775 9446 14169 17550 23615 28338 42507 47230 61399 70845 85014 118075 122798 127521 141690 184197 212535 236150 255042 306995 354225 368394 425070 552591 613990 637605 708450 920985 1062675 1105182 1275210 1534975 1657773 1841970 2125350 2762955 3069950 3188025 3315546 4604925 5525910 6376050 8288865 9209850 13814775 16577730 27629550 41444325 82888650