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289000476 = 2232173115233
BaseRepresentation
bin10001001110011…
…100110000011100
3202010210202010100
4101032130300130
51042441003401
644402141100
710106314662
oct2116346034
9663722110
10289000476
11139151376
1280951790
1347b492cb
142a54cc32
151a589b86
hex1139cc1c

289000476 has 72 divisors (see below), whose sum is σ = 798505344. Its totient is φ = 87736320.

The previous prime is 289000447. The next prime is 289000483. The reversal of 289000476 is 674000982.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 289000476.

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 23 ways as a sum of consecutive naturals, for example, 11356 + ... + 26588.

It is an arithmetic number, because the mean of its divisors is an integer number (11090352).

Almost surely, 2289000476 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 289000476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399252672).

289000476 is an abundant number, since it is smaller than the sum of its proper divisors (509504868).

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

289000476 is a wasteful number, since it uses less digits than its factorization.

289000476 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15291 (or 15286 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 289000476 is about 17000.0139999942. The cubic root of 289000476 is about 661.1492648293.

The spelling of 289000476 in words is "two hundred eighty-nine million, four hundred seventy-six", and thus it is an aban number.

Divisors: 1 2 3 4 6 9 12 17 18 31 34 36 51 62 68 93 102 124 153 186 204 279 306 372 527 558 612 1054 1116 1581 2108 3162 4743 6324 9486 15233 18972 30466 45699 60932 91398 137097 182796 258961 274194 472223 517922 548388 776883 944446 1035844 1416669 1553766 1888892 2330649 2833338 3107532 4250007 4661298 5666676 8027791 8500014 9322596 16055582 17000028 24083373 32111164 48166746 72250119 96333492 144500238 289000476