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82995528 = 23371197463
BaseRepresentation
bin1001111001001…
…10100101001000
312210011121110110
410330212211020
5132221324103
612122514320
72025310320
oct474464510
9183147413
1082995528
1142937850
12239659a0
131426b9a5
14b046280
157446403
hex4f26948

82995528 has 128 divisors (see below), whose sum is σ = 261918720. Its totient is φ = 21288960.

The previous prime is 82995527. The next prime is 82995529. The reversal of 82995528 is 82559928.

It is an interprime number because it is at equal distance from previous prime (82995527) and next prime (82995529).

It is not an unprimeable number, because it can be changed into a prime (82995527) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 179025 + ... + 179487.

It is an arithmetic number, because the mean of its divisors is an integer number (2046240).

Almost surely, 282995528 is an apocalyptic number.

82995528 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82995528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130959360).

82995528 is an abundant number, since it is smaller than the sum of its proper divisors (178923192).

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

82995528 is a wasteful number, since it uses less digits than its factorization.

82995528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 587 (or 583 counting only the distinct ones).

The product of its digits is 518400, while the sum is 48.

The square root of 82995528 is about 9110.1881429529. The cubic root of 82995528 is about 436.1992327959.

Subtracting from 82995528 its reverse (82559928), we obtain a square (435600 = 6602).

The spelling of 82995528 in words is "eighty-two million, nine hundred ninety-five thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 97 132 154 168 194 231 264 291 308 388 462 463 582 616 679 776 924 926 1067 1164 1358 1389 1848 1852 2037 2134 2328 2716 2778 3201 3241 3704 4074 4268 5093 5432 5556 6402 6482 7469 8148 8536 9723 10186 11112 12804 12964 14938 15279 16296 19446 20372 22407 25608 25928 29876 30558 35651 38892 40744 44814 44911 59752 61116 71302 77784 89628 89822 106953 122232 134733 142604 179256 179644 213906 269466 285208 314377 359288 427812 494021 538932 628754 855624 943131 988042 1077864 1257508 1482063 1886262 1976084 2515016 2964126 3458147 3772524 3952168 5928252 6916294 7545048 10374441 11856504 13832588 20748882 27665176 41497764 82995528