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82514236 = 227273279
BaseRepresentation
bin1001110101100…
…01000100111100
312202021011020211
410322301010330
5132110423421
612104322204
72021234200
oct472610474
9182234224
1082514236
1142639192
1223773364
13141308bc
14ad5cb00
15739d9e1
hex4eb113c

82514236 has 54 divisors (see below), whose sum is σ = 172463760. Its totient is φ = 34437312.

The previous prime is 82514231. The next prime is 82514239. The reversal of 82514236 is 63241528.

It is a junction number, because it is equal to n+sod(n) for n = 82514198 and 82514207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82514231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1044445 + ... + 1044523.

Almost surely, 282514236 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 82514236, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86231880).

82514236 is an abundant number, since it is smaller than the sum of its proper divisors (89949524).

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

82514236 is a wasteful number, since it uses less digits than its factorization.

82514236 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 161 counting only the distinct ones).

The product of its digits is 11520, while the sum is 31.

The square root of 82514236 is about 9083.7346944965. The cubic root of 82514236 is about 435.3544229130.

The spelling of 82514236 in words is "eighty-two million, five hundred fourteen thousand, two hundred thirty-six".

Divisors: 1 2 4 7 14 28 49 73 79 98 146 158 196 292 316 511 553 1022 1106 2044 2212 3577 3871 5329 5767 7154 7742 10658 11534 14308 15484 21316 23068 37303 40369 74606 80738 149212 161476 261121 282583 420991 522242 565166 841982 1044484 1130332 1683964 2946937 5893874 11787748 20628559 41257118 82514236