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897139584 = 27331123599
BaseRepresentation
bin110101011110010…
…100001110000000
32022112010102011000
4311132110032000
53314131431314
6225004452000
731142363205
oct6536241600
92275112130
10897139584
11420459280
1221054a000
13113b34733
1487213cac
1553b64209
hex35794380

897139584 has 128 divisors (see below), whose sum is σ = 2888640000. Its totient is φ = 271848960.

The previous prime is 897139571. The next prime is 897139591. The reversal of 897139584 is 485931798.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 897139584.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26217 + ... + 49815.

It is an arithmetic number, because the mean of its divisors is an integer number (22567500).

Almost surely, 2897139584 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 897139584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1444320000).

897139584 is an abundant number, since it is smaller than the sum of its proper divisors (1991500416).

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

897139584 is a wasteful number, since it uses less digits than its factorization.

897139584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23633 (or 23615 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 54.

The square root of 897139584 is about 29952.2884601494. The cubic root of 897139584 is about 964.4654467376.

The spelling of 897139584 in words is "eight hundred ninety-seven million, one hundred thirty-nine thousand, five hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 88 96 99 108 128 132 144 176 192 198 216 264 288 297 352 384 396 432 528 576 594 704 792 864 1056 1152 1188 1408 1584 1728 2112 2376 3168 3456 4224 4752 6336 9504 12672 19008 23599 38016 47198 70797 94396 141594 188792 212391 259589 283188 377584 424782 519178 566376 637173 755168 778767 849564 1038356 1132752 1274346 1510336 1557534 1699128 2076712 2265504 2336301 2548692 3020672 3115068 3398256 4153424 4531008 4672602 5097384 6230136 6796512 7008903 8306848 9062016 9345204 10194768 12460272 13593024 14017806 16613696 18690408 20389536 24920544 27186048 28035612 33227392 37380816 40779072 49841088 56071224 74761632 81558144 99682176 112142448 149523264 224284896 299046528 448569792 897139584