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82258740 = 2234550777
BaseRepresentation
bin1001110011100…
…10101100110100
312201210011210000
410321302230310
5132024234430
612055031300
72016121254
oct471625464
9181704700
1082258740
1142484233
122366b530
1314071515
14acd3964
15734ce60
hex4e72b34

82258740 has 60 divisors (see below), whose sum is σ = 258053796. Its totient is φ = 21935232.

The previous prime is 82258739. The next prime is 82258783. The reversal of 82258740 is 4785228.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 51322896 + 30935844 = 7164^2 + 5562^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 82258695 and 82258704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 23769 + ... + 27008.

Almost surely, 282258740 is an apocalyptic number.

It is an amenable number.

82258740 is an abundant number, since it is smaller than the sum of its proper divisors (175795056).

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

82258740 is a wasteful number, since it uses less digits than its factorization.

82258740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50798 (or 50787 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 82258740 is about 9069.6604126064. The cubic root of 82258740 is about 434.9046164230.

The spelling of 82258740 in words is "eighty-two million, two hundred fifty-eight thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 50777 101554 152331 203108 253885 304662 456993 507770 609324 761655 913986 1015540 1370979 1523310 1827972 2284965 2741958 3046620 4112937 4569930 5483916 6854895 8225874 9139860 13709790 16451748 20564685 27419580 41129370 82258740