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896019072 = 27313213807
BaseRepresentation
bin110101011010000…
…010101010000000
32022110000111002120
4311122002222000
53313340102242
6224524444240
731130015334
oct6532025200
92273014076
10896019072
1141a863433
122100a9680
13113831700
14870017c4
15539e21ec
hex35682a80

896019072 has 96 divisors (see below), whose sum is σ = 2577401280. Its totient is φ = 275678208.

The previous prime is 896019067. The next prime is 896019109. The reversal of 896019072 is 270910698.

It is a tau number, because it is divible by the number of its divisors (96).

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 11 ways as a sum of consecutive naturals, for example, 57993 + ... + 71799.

It is an arithmetic number, because the mean of its divisors is an integer number (26847930).

Almost surely, 2896019072 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 896019072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1288700640).

896019072 is an abundant number, since it is smaller than the sum of its proper divisors (1681382208).

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

896019072 is a wasteful number, since it uses less digits than its factorization.

896019072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13850 (or 13825 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 42.

The square root of 896019072 is about 29933.5776678966. The cubic root of 896019072 is about 964.0637458348.

The spelling of 896019072 in words is "eight hundred ninety-six million, nineteen thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 169 192 208 312 338 384 416 507 624 676 832 1014 1248 1352 1664 2028 2496 2704 4056 4992 5408 8112 10816 13807 16224 21632 27614 32448 41421 55228 64896 82842 110456 165684 179491 220912 331368 358982 441824 538473 662736 717964 883648 1076946 1325472 1435928 1767296 2153892 2333383 2650944 2871856 4307784 4666766 5301888 5743712 7000149 8615568 9333532 11487424 14000298 17231136 18667064 22974848 28000596 34462272 37334128 56001192 68924544 74668256 112002384 149336512 224004768 298673024 448009536 896019072