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82313826 = 2373233747
BaseRepresentation
bin1001110100000…
…00001001100010
312201212222100020
410322000021202
5132033020301
612100134310
72016441000
oct472001142
9181788306
1082313826
1142511661
1223697396
131409060a
14ad09a70
15735e436
hex4e80262

82313826 has 128 divisors (see below), whose sum is σ = 210124800. Its totient is φ = 21422016.

The previous prime is 82313809. The next prime is 82313867. The reversal of 82313826 is 62831328.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1751335 + ... + 1751381.

It is an arithmetic number, because the mean of its divisors is an integer number (1641600).

Almost surely, 282313826 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82313826, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105062400).

82313826 is an abundant number, since it is smaller than the sum of its proper divisors (127810974).

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

82313826 is a wasteful number, since it uses less digits than its factorization.

82313826 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 119 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

The square root of 82313826 is about 9072.6967325046. The cubic root of 82313826 is about 435.0016752479.

The spelling of 82313826 in words is "eighty-two million, three hundred thirteen thousand, eight hundred twenty-six".

Divisors: 1 2 3 6 7 14 21 23 37 42 46 47 49 69 74 94 98 111 138 141 147 161 222 259 282 294 322 329 343 483 518 658 686 777 851 966 987 1029 1081 1127 1554 1702 1739 1813 1974 2058 2162 2254 2303 2553 3243 3381 3478 3626 4606 5106 5217 5439 5957 6486 6762 6909 7567 7889 10434 10878 11914 12173 12691 13818 15134 15778 16121 17871 22701 23667 24346 25382 32242 35742 36519 38073 39997 41699 45402 47334 48363 52969 73038 76146 79994 83398 85211 96726 105938 119991 125097 158907 170422 239982 250194 255633 279979 291893 317814 370783 511266 559958 583786 596477 741566 839937 875679 1112349 1192954 1679874 1751358 1789431 1959853 2224698 3578862 3919706 5879559 11759118 13718971 27437942 41156913 82313826