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842212448 = 25711437949
BaseRepresentation
bin110010001100110…
…010010001100000
32011200202211021122
4302030302101200
53211101244243
6215323311412
726604454610
oct6214622140
92150684248
10842212448
113a2452750
121b607b568
1310564277c
147dbd6a40
154de14668
hex32332460

842212448 has 96 divisors (see below), whose sum is σ = 2115590400. Its totient is φ = 320463360.

The previous prime is 842212439. The next prime is 842212451. The reversal of 842212448 is 844212248.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101978 + ... + 109926.

It is an arithmetic number, because the mean of its divisors is an integer number (22037400).

Almost surely, 2842212448 is an apocalyptic number.

842212448 is a gapful number since it is divisible by the number (88) 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 842212448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1057795200).

842212448 is an abundant number, since it is smaller than the sum of its proper divisors (1273377952).

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

842212448 is a wasteful number, since it uses less digits than its factorization.

842212448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8020 (or 8012 counting only the distinct ones).

The product of its digits is 32768, while the sum is 35.

The square root of 842212448 is about 29020.8967469994. The cubic root of 842212448 is about 944.3664549682.

The spelling of 842212448 in words is "eight hundred forty-two million, two hundred twelve thousand, four hundred forty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 43 44 56 77 86 88 112 154 172 176 224 301 308 344 352 473 602 616 688 946 1204 1232 1376 1892 2408 2464 3311 3784 4816 6622 7568 7949 9632 13244 15136 15898 26488 31796 52976 55643 63592 87439 105952 111286 127184 174878 222572 254368 341807 349756 445144 612073 683614 699512 890288 1224146 1367228 1399024 1780576 2392649 2448292 2734456 2798048 3759877 4785298 4896584 5468912 7519754 9570596 9793168 10937824 15039508 19141192 19586336 26319139 30079016 38282384 52638278 60158032 76564768 105276556 120316064 210553112 421106224 842212448