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289492944 = 243132127281
BaseRepresentation
bin10001010000010…
…100111111010000
3202011201202122220
4101100110333100
51043102233234
644420501040
710113435516
oct2120247720
9664652586
10289492944
11139458374
1280b4a780
1347c8c500
142a63a4b6
151a635a49
hex11414fd0

289492944 has 120 divisors (see below), whose sum is σ = 819090432. Its totient is φ = 88058880.

The previous prime is 289492939. The next prime is 289493011. The reversal of 289492944 is 449294982.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1030084 + ... + 1030364.

Almost surely, 2289492944 is an apocalyptic number.

289492944 is a gapful number since it is divisible by the number (24) 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 289492944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409545216).

289492944 is an abundant number, since it is smaller than the sum of its proper divisors (529597488).

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

289492944 is a wasteful number, since it uses less digits than its factorization.

289492944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445 (or 426 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 51.

The square root of 289492944 is about 17014.4921757894. The cubic root of 289492944 is about 661.5245930334.

The spelling of 289492944 in words is "two hundred eighty-nine million, four hundred ninety-two thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 127 156 169 208 254 281 312 338 381 507 508 562 624 676 762 843 1014 1016 1124 1352 1524 1651 1686 2028 2032 2248 2704 3048 3302 3372 3653 4056 4496 4953 6096 6604 6744 7306 8112 9906 10959 13208 13488 14612 19812 21463 21918 26416 29224 35687 39624 42926 43836 47489 58448 64389 71374 79248 85852 87672 94978 107061 128778 142467 142748 171704 175344 189956 214122 257556 284934 285496 343408 379912 428244 463931 515112 569868 570992 759824 856488 927862 1030224 1139736 1391793 1712976 1855724 2279472 2783586 3711448 5567172 6031103 7422896 11134344 12062206 18093309 22268688 24124412 36186618 48248824 72373236 96497648 144746472 289492944