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820017044 = 2271111323561
BaseRepresentation
bin110000111000000…
…111011110010100
32010011000011220122
4300320013132110
53134411021134
6213211451112
726215013150
oct6070073624
92104004818
10820017044
11390972a40
121aa756a98
13100b70cb2
147ac9a060
154becd02e
hex30e07794

820017044 has 48 divisors (see below), whose sum is σ = 1805037696. Its totient is φ = 316646400.

The previous prime is 820017043. The next prime is 820017167. The reversal of 820017044 is 440710028.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820017043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23024 + ... + 46584.

It is an arithmetic number, because the mean of its divisors is an integer number (37604952).

Almost surely, 2820017044 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 820017044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (902518848).

820017044 is an abundant number, since it is smaller than the sum of its proper divisors (985020652).

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

820017044 is a wasteful number, since it uses less digits than its factorization.

820017044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23696 (or 23694 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 26.

The square root of 820017044 is about 28635.9397261553. The cubic root of 820017044 is about 935.9966472352.

The spelling of 820017044 in words is "eight hundred twenty million, seventeen thousand, forty-four".

Divisors: 1 2 4 7 11 14 22 28 44 77 113 154 226 308 452 791 1243 1582 2486 3164 4972 8701 17402 23561 34804 47122 94244 164927 259171 329854 518342 659708 1036684 1814197 2662393 3628394 5324786 7256788 10649572 18636751 29286323 37273502 58572646 74547004 117145292 205004261 410008522 820017044