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289494480 = 243511532069
BaseRepresentation
bin10001010000010…
…101010111010000
3202011201211202210
4101100111113100
51043102310410
644420512120
710113443142
oct2120252720
9664654683
10289494480
11139459540
1280b4b640
1347c90112
142a63ac92
151a636220
hex114155d0

289494480 has 160 divisors (see below), whose sum is σ = 997971840. Its totient is φ = 68823040.

The previous prime is 289494467. The next prime is 289494487. The reversal of 289494480 is 84494982.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (289494487) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 138886 + ... + 140954.

It is an arithmetic number, because the mean of its divisors is an integer number (6237324).

Almost surely, 2289494480 is an apocalyptic number.

289494480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 289494480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498985920).

289494480 is an abundant number, since it is smaller than the sum of its proper divisors (708477360).

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

289494480 is a wasteful number, since it uses less digits than its factorization.

289494480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2149 (or 2143 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 48.

The square root of 289494480 is about 17014.5373137209. The cubic root of 289494480 is about 661.5257630101.

The spelling of 289494480 in words is "two hundred eighty-nine million, four hundred ninety-four thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 53 55 60 66 80 88 106 110 120 132 159 165 176 212 220 240 264 265 318 330 424 440 528 530 583 636 660 795 848 880 1060 1166 1272 1320 1590 1749 2069 2120 2332 2544 2640 2915 3180 3498 4138 4240 4664 5830 6207 6360 6996 8276 8745 9328 10345 11660 12414 12720 13992 16552 17490 20690 22759 23320 24828 27984 31035 33104 34980 41380 45518 46640 49656 62070 68277 69960 82760 91036 99312 109657 113795 124140 136554 139920 165520 182072 219314 227590 248280 273108 328971 341385 364144 438628 455180 496560 546216 548285 657942 682770 877256 910360 1092432 1096570 1206227 1315884 1365540 1644855 1754512 1820720 2193140 2412454 2631768 2731080 3289710 3618681 4386280 4824908 5263536 5462160 6031135 6579420 7237362 8772560 9649816 12062270 13158840 14474724 18093405 19299632 24124540 26317680 28949448 36186810 48249080 57898896 72373620 96498160 144747240 289494480