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84028224 = 2637103607
BaseRepresentation
bin1010000001000…
…10101101000000
312212010002001110
411000202231000
5133002400344
612201003320
72040141150
oct500425500
9185102043
1084028224
1143482715
1224183540
1314540a57
14b234760
15759c3b9
hex5022b40

84028224 has 112 divisors (see below), whose sum is σ = 256974848. Its totient is φ = 23735808.

The previous prime is 84028211. The next prime is 84028249. The reversal of 84028224 is 42282048.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 84028191 and 84028200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 138129 + ... + 138735.

Almost surely, 284028224 is an apocalyptic number.

84028224 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84028224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128487424).

84028224 is an abundant number, since it is smaller than the sum of its proper divisors (172946624).

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

84028224 is a wasteful number, since it uses less digits than its factorization.

84028224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 732 (or 722 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 30.

The square root of 84028224 is about 9166.6910060283. The cubic root of 84028224 is about 438.0009591105. Note that the first 3 decimals are identical.

The spelling of 84028224 in words is "eighty-four million, twenty-eight thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 103 112 168 192 206 224 309 336 412 448 607 618 672 721 824 1214 1236 1344 1442 1648 1821 2163 2428 2472 2884 3296 3642 4249 4326 4856 4944 5768 6592 7284 8498 8652 9712 9888 11536 12747 14568 16996 17304 19424 19776 23072 25494 29136 33992 34608 38848 46144 50988 58272 62521 67984 69216 101976 116544 125042 135968 138432 187563 203952 250084 271936 375126 407904 437647 500168 750252 815808 875294 1000336 1312941 1500504 1750588 2000672 2625882 3001008 3501176 4001344 5251764 6002016 7002352 10503528 12004032 14004704 21007056 28009408 42014112 84028224