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82052910 = 23251575807
BaseRepresentation
bin1001110010000…
…00011100101110
312201101201102200
410321000130232
5132001143120
612050402330
72014303212
oct471003456
9181351380
1082052910
1142353625
12235903a6
1313ccb924
14ac7c942
15730be90
hex4e4072e

82052910 has 48 divisors (see below), whose sum is σ = 214733376. Its totient is φ = 21737664.

The previous prime is 82052909. The next prime is 82052917. The reversal of 82052910 is 1925028.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82052917) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11227 + ... + 17033.

It is an arithmetic number, because the mean of its divisors is an integer number (4473612).

Almost surely, 282052910 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82052910, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107366688).

82052910 is an abundant number, since it is smaller than the sum of its proper divisors (132680466).

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

82052910 is a wasteful number, since it uses less digits than its factorization.

82052910 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5977 (or 5974 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 82052910 is about 9058.3061330472. The cubic root of 82052910 is about 434.5415701594.

Adding to 82052910 its reverse (1925028), we get a palindrome (83977938).

The spelling of 82052910 in words is "eighty-two million, fifty-two thousand, nine hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 157 314 471 785 942 1413 1570 2355 2826 4710 5807 7065 11614 14130 17421 29035 34842 52263 58070 87105 104526 174210 261315 522630 911699 1823398 2735097 4558495 5470194 8205291 9116990 13675485 16410582 27350970 41026455 82052910