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893245290 = 2357192111061
BaseRepresentation
bin110101001111011…
…101011101101010
32022020210120011220
4311033131131222
53312132322130
6224345202510
731064313450
oct6517353552
92266716156
10893245290
11419239453
1220b190436
131130a0012
14868bc9d0
1553645410
hex353dd76a

893245290 has 128 divisors (see below), whose sum is σ = 2593658880. Its totient is φ = 192326400.

The previous prime is 893245289. The next prime is 893245291. The reversal of 893245290 is 92542398.

It is an interprime number because it is at equal distance from previous prime (893245289) and next prime (893245291).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (893245291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 841360 + ... + 842420.

It is an arithmetic number, because the mean of its divisors is an integer number (20262960).

Almost surely, 2893245290 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 893245290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1296829440).

893245290 is an abundant number, since it is smaller than the sum of its proper divisors (1700413590).

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

893245290 is a wasteful number, since it uses less digits than its factorization.

893245290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1308.

The product of its (nonzero) digits is 155520, while the sum is 42.

The square root of 893245290 is about 29887.2094716118. The cubic root of 893245290 is about 963.0679088463.

The spelling of 893245290 in words is "eight hundred ninety-three million, two hundred forty-five thousand, two hundred ninety".

Divisors: 1 2 3 5 6 7 10 14 15 19 21 30 35 38 42 57 70 95 105 114 133 190 210 211 266 285 399 422 570 633 665 798 1055 1061 1266 1330 1477 1995 2110 2122 2954 3165 3183 3990 4009 4431 5305 6330 6366 7385 7427 8018 8862 10610 12027 14770 14854 15915 20045 20159 22155 22281 24054 28063 31830 37135 40090 40318 44310 44562 56126 60135 60477 74270 84189 100795 111405 120270 120954 140315 141113 168378 201590 222810 223871 280630 282226 302385 420945 423339 447742 604770 671613 705565 841890 846678 1119355 1343226 1411130 1567097 2116695 2238710 3134194 3358065 4233390 4253549 4701291 6716130 7835485 8507098 9402582 12760647 15670970 21267745 23506455 25521294 29774843 42535490 47012910 59549686 63803235 89324529 127606470 148874215 178649058 297748430 446622645 893245290