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89270328 = 23373161281
BaseRepresentation
bin1010101001000…
…10100000111000
320012222101212110
411110202200320
5140323122303
612505212320
72132533230
oct524424070
9205871773
1089270328
1146433134
1225a910a0
1315657aa4
14bbdacc0
157c85703
hex5522838

89270328 has 128 divisors (see below), whose sum is σ = 268554240. Its totient is φ = 24192000.

The previous prime is 89270327. The next prime is 89270333. The reversal of 89270328 is 82307298.

It is a super-2 number, since 2×892703282 = 15938382922455168, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89270327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 317548 + ... + 317828.

It is an arithmetic number, because the mean of its divisors is an integer number (2098080).

Almost surely, 289270328 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 89270328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134277120).

89270328 is an abundant number, since it is smaller than the sum of its proper divisors (179283912).

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

89270328 is a wasteful number, since it uses less digits than its factorization.

89270328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 89270328 is about 9448.2976244401. The cubic root of 89270328 is about 446.9260922104.

It can be divided in two parts, 89270 and 328, that added together give a palindrome (89598).

The spelling of 89270328 in words is "eighty-nine million, two hundred seventy thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 31 42 56 61 62 84 93 122 124 168 183 186 217 244 248 281 366 372 427 434 488 562 651 732 744 843 854 868 1124 1281 1302 1464 1686 1708 1736 1891 1967 2248 2562 2604 3372 3416 3782 3934 5124 5208 5673 5901 6744 7564 7868 8711 10248 11346 11802 13237 15128 15736 17141 17422 22692 23604 26133 26474 34282 34844 39711 45384 47208 51423 52266 52948 60977 68564 69688 79422 102846 104532 105896 119987 121954 137128 158844 182931 205692 209064 239974 243908 317688 359961 365862 411384 479948 487816 531371 719922 731724 959896 1062742 1439844 1463448 1594113 2125484 2879688 3188226 3719597 4250968 6376452 7439194 11158791 12752904 14878388 22317582 29756776 44635164 89270328