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289013076 = 223311673631
BaseRepresentation
bin10001001110011…
…111110101010100
3202010211101102000
4101032133311110
51042441404301
644402315300
710106366502
oct2116376524
9663741360
10289013076
1113915a890
1280958b30
1347b51c71
142a553672
151a58d786
hex1139fd54

289013076 has 96 divisors (see below), whose sum is σ = 829839360. Its totient is φ = 86248800.

The previous prime is 289013071. The next prime is 289013083. The reversal of 289013076 is 670310982.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 289013076.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (289013071) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77781 + ... + 81411.

It is an arithmetic number, because the mean of its divisors is an integer number (8644160).

Almost surely, 2289013076 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 289013076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414919680).

289013076 is an abundant number, since it is smaller than the sum of its proper divisors (540826284).

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

289013076 is a wasteful number, since it uses less digits than its factorization.

289013076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3722 (or 3714 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 289013076 is about 17000.3845838852. The cubic root of 289013076 is about 661.1588730715.

The spelling of 289013076 in words is "two hundred eighty-nine million, thirteen thousand, seventy-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 67 99 108 132 134 198 201 268 297 396 402 594 603 737 804 1188 1206 1474 1809 2211 2412 2948 3618 3631 4422 6633 7236 7262 8844 10893 13266 14524 19899 21786 26532 32679 39798 39941 43572 65358 79596 79882 98037 119823 130716 159764 196074 239646 243277 359469 392148 479292 486554 718938 729831 973108 1078407 1437876 1459662 2156814 2189493 2676047 2919324 4313628 4378986 5352094 6568479 8028141 8757972 10704188 13136958 16056282 24084423 26273916 32112564 48168846 72253269 96337692 144506538 289013076