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89143296 = 2113111319
BaseRepresentation
bin1010101000000…
…11100000000000
320012201221121120
411110003200000
5140310041141
612502352240
72131463664
oct524034000
9205657546
1089143296
1146356750
1225a2b680
1315612018
14bba68a4
157c5cc66
hex5503800

89143296 has 96 divisors (see below), whose sum is σ = 259459200. Its totient is φ = 26992640.

The previous prime is 89143289. The next prime is 89143319. The reversal of 89143296 is 69234198.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 66925 + ... + 68243.

It is an arithmetic number, because the mean of its divisors is an integer number (2702700).

Almost surely, 289143296 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 89143296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129729600).

89143296 is an abundant number, since it is smaller than the sum of its proper divisors (170315904).

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

89143296 is a wasteful number, since it uses less digits than its factorization.

89143296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1355 (or 1335 counting only the distinct ones).

The product of its digits is 93312, while the sum is 42.

The square root of 89143296 is about 9441.5727503420. The cubic root of 89143296 is about 446.7139990929.

The spelling of 89143296 in words is "eighty-nine million, one hundred forty-three thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 512 528 704 768 1024 1056 1319 1408 1536 2048 2112 2638 2816 3072 3957 4224 5276 5632 6144 7914 8448 10552 11264 14509 15828 16896 21104 22528 29018 31656 33792 42208 43527 58036 63312 67584 84416 87054 116072 126624 168832 174108 232144 253248 337664 348216 464288 506496 675328 696432 928576 1012992 1350656 1392864 1857152 2025984 2701312 2785728 3714304 4051968 5571456 7428608 8103936 11142912 14857216 22285824 29714432 44571648 89143296