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82238716 = 22737163487
BaseRepresentation
bin1001110011011…
…01110011111100
312201202011022101
410321231303330
5132023114331
612054354444
72016006010
oct471556374
9181664271
1082238716
114247018a
122365ba24
1314065381
14acca540
157347061
hex4e6dcfc

82238716 has 48 divisors (see below), whose sum is σ = 170308096. Its totient is φ = 34012224.

The previous prime is 82238713. The next prime is 82238773. The reversal of 82238716 is 61783228.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82238711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 168625 + ... + 169111.

Almost surely, 282238716 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82238716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85154048).

82238716 is an abundant number, since it is smaller than the sum of its proper divisors (88069380).

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

82238716 is a wasteful number, since it uses less digits than its factorization.

82238716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 698 (or 696 counting only the distinct ones).

The product of its digits is 32256, while the sum is 37.

The square root of 82238716 is about 9068.5564452122. The cubic root of 82238716 is about 434.8693243808.

It can be divided in two parts, 822387 and 16, that added together give a triangular number (822403 = T1282).

The spelling of 82238716 in words is "eighty-two million, two hundred thirty-eight thousand, seven hundred sixteen".

Divisors: 1 2 4 7 14 28 37 74 148 163 259 326 487 518 652 974 1036 1141 1948 2282 3409 4564 6031 6818 12062 13636 18019 24124 36038 42217 72076 79381 84434 126133 158762 168868 252266 317524 504532 555667 1111334 2222668 2937097 5874194 11748388 20559679 41119358 82238716