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82713750 = 2354723137
BaseRepresentation
bin1001110111000…
…01110010010110
312202122021221020
410323201302112
5132133320000
612112502010
72023024650
oct473416226
9182567836
1082713750
1142765079
122384a906
13141a0662
14adb16d0
1573dcba0
hex4ee1c96

82713750 has 160 divisors (see below), whose sum is σ = 248320512. Its totient is φ = 17952000.

The previous prime is 82713737. The next prime is 82713767. The reversal of 82713750 is 5731728.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 603682 + ... + 603818.

Almost surely, 282713750 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82713750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124160256).

82713750 is an abundant number, since it is smaller than the sum of its proper divisors (165606762).

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

82713750 is a wasteful number, since it uses less digits than its factorization.

82713750 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 33.

The square root of 82713750 is about 9094.7100008741. The cubic root of 82713750 is about 435.7050266138.

It can be divided in two parts, 8271 and 3750, that added together give a palindrome (12021).

The spelling of 82713750 in words is "eighty-two million, seven hundred thirteen thousand, seven hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 23 25 30 35 42 46 50 69 70 75 105 115 125 137 138 150 161 175 210 230 250 274 322 345 350 375 411 483 525 575 625 685 690 750 805 822 875 959 966 1050 1150 1250 1370 1610 1725 1750 1875 1918 2055 2415 2625 2875 2877 3151 3425 3450 3750 4025 4110 4375 4795 4830 5250 5750 5754 6302 6850 8050 8625 8750 9453 9590 10275 12075 13125 14375 14385 15755 17125 17250 18906 20125 20550 22057 23975 24150 26250 28750 28770 31510 34250 40250 43125 44114 47265 47950 51375 60375 66171 71925 78775 85625 86250 94530 100625 102750 110285 119875 120750 132342 143850 157550 171250 201250 220570 236325 239750 256875 301875 330855 359625 393875 472650 513750 551425 599375 603750 661710 719250 787750 1102850 1181625 1198750 1654275 1798125 1969375 2363250 2757125 3308550 3596250 3938750 5514250 5908125 8271375 11816250 13785625 16542750 27571250 41356875 82713750