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82685790 = 232511174
BaseRepresentation
bin1001110110110…
…10111101011110
312202120212120200
410323122331132
5132131421130
612112124330
72022550305
oct473327536
9182525520
1082685790
1142746070
12238366a6
1314190a05
14ada543c
1573d4760
hex4edaf5e

82685790 has 120 divisors (see below), whose sum is σ = 249184728. Its totient is φ = 18865920.

The previous prime is 82685789. The next prime is 82685803. The reversal of 82685790 is 9758628.

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

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4863862 + ... + 4863878.

Almost surely, 282685790 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82685790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124592364).

82685790 is an abundant number, since it is smaller than the sum of its proper divisors (166498938).

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

82685790 is a wasteful number, since it uses less digits than its factorization.

82685790 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 82685790 is about 9093.1727136352. The cubic root of 82685790 is about 435.6559268148.

The spelling of 82685790 in words is "eighty-two million, six hundred eighty-five thousand, seven hundred ninety".

Divisors: 1 2 3 5 6 9 10 11 15 17 18 22 30 33 34 45 51 55 66 85 90 99 102 110 153 165 170 187 198 255 289 306 330 374 495 510 561 578 765 867 935 990 1122 1445 1530 1683 1734 1870 2601 2805 2890 3179 3366 4335 4913 5202 5610 6358 8415 8670 9537 9826 13005 14739 15895 16830 19074 24565 26010 28611 29478 31790 44217 47685 49130 54043 57222 73695 83521 88434 95370 108086 143055 147390 162129 167042 221085 250563 270215 286110 324258 417605 442170 486387 501126 540430 751689 810645 835210 918731 972774 1252815 1503378 1621290 1837462 2431935 2505630 2756193 3758445 4593655 4863870 5512386 7516890 8268579 9187310 13780965 16537158 27561930 41342895 82685790