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82313892 = 223279103281
BaseRepresentation
bin1001110100000…
…00001010100100
312201212222102200
410322000022210
5132033021032
612100134500
72016441123
oct472001244
9181788380
1082313892
1142511711
1223697430
131409065b
14ad09aba
15735e47c
hex4e802a4

82313892 has 72 divisors (see below), whose sum is σ = 213507840. Its totient is φ = 26732160.

The previous prime is 82313879. The next prime is 82313893. The reversal of 82313892 is 29831328.

It is a happy number.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (82313893) 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, 292792 + ... + 293072.

Almost surely, 282313892 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 82313892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106753920).

82313892 is an abundant number, since it is smaller than the sum of its proper divisors (131193948).

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

82313892 is a wasteful number, since it uses less digits than its factorization.

82313892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473 (or 468 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 82313892 is about 9072.7003697907. The cubic root of 82313892 is about 435.0017915107.

The spelling of 82313892 in words is "eighty-two million, three hundred thirteen thousand, eight hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 36 79 103 158 206 237 281 309 316 412 474 562 618 711 843 927 948 1124 1236 1422 1686 1854 2529 2844 3372 3708 5058 8137 10116 16274 22199 24411 28943 32548 44398 48822 57886 66597 73233 86829 88796 97644 115772 133194 146466 173658 199791 260487 266388 292932 347316 399582 520974 799164 1041948 2286497 4572994 6859491 9145988 13718982 20578473 27437964 41156946 82313892