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89053440 = 283573313
BaseRepresentation
bin1010100111011…
…01100100000000
320012120101100120
411103231210000
5140244202230
612500420240
72130641010
oct523554400
9205511316
1089053440
11462a5193
12259a7680
13155b0158
14bb81c40
157c41310
hex54ed900

89053440 has 144 divisors (see below), whose sum is σ = 325143168. Its totient is φ = 20348928.

The previous prime is 89053427. The next prime is 89053453. The reversal of 89053440 is 4435098.

It is an interprime number because it is at equal distance from previous prime (89053427) and next prime (89053453).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 25224 + ... + 28536.

Almost surely, 289053440 is an apocalyptic number.

89053440 is a gapful number since it is divisible by the number (80) 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 89053440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162571584).

89053440 is an abundant number, since it is smaller than the sum of its proper divisors (236089728).

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

89053440 is a wasteful number, since it uses less digits than its factorization.

89053440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3344 (or 3330 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 89053440 is about 9436.8130213542. The cubic root of 89053440 is about 446.5638534682.

The spelling of 89053440 in words is "eighty-nine million, fifty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 128 140 160 168 192 210 224 240 256 280 320 336 384 420 448 480 560 640 672 768 840 896 960 1120 1280 1344 1680 1792 1920 2240 2688 3313 3360 3840 4480 5376 6626 6720 8960 9939 13252 13440 16565 19878 23191 26504 26880 33130 39756 46382 49695 53008 66260 69573 79512 92764 99390 106016 115955 132520 139146 159024 185528 198780 212032 231910 265040 278292 318048 347865 371056 397560 424064 463820 530080 556584 636096 695730 742112 795120 848128 927640 1060160 1113168 1272192 1391460 1484224 1590240 1855280 2120320 2226336 2544384 2782920 2968448 3180480 3710560 4240640 4452672 5565840 5936896 6360960 7421120 8905344 11131680 12721920 14842240 17810688 22263360 29684480 44526720 89053440