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89080344 = 23332914221
BaseRepresentation
bin1010100111101…
…00001000011000
320012121202021000
411103310020120
5140301032334
612501145000
72131112313
oct523641030
9205552230
1089080344
1146313421
12259bb160
13155bc482
14bb8b97a
157c49299
hex54f4218

89080344 has 64 divisors (see below), whose sum is σ = 255996000. Its totient is φ = 28667520.

The previous prime is 89080339. The next prime is 89080361. The reversal of 89080344 is 44308098.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 89080299 and 89080308.

It is a congruent number.

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, 847 + ... + 13374.

Almost surely, 289080344 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 89080344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127998000).

89080344 is an abundant number, since it is smaller than the sum of its proper divisors (166915656).

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

89080344 is a wasteful number, since it uses less digits than its factorization.

89080344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14265 (or 14255 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 89080344 is about 9438.2383949549. The cubic root of 89080344 is about 446.6088195179.

The spelling of 89080344 in words is "eighty-nine million, eighty thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 29 36 54 58 72 87 108 116 174 216 232 261 348 522 696 783 1044 1566 2088 3132 6264 14221 28442 42663 56884 85326 113768 127989 170652 255978 341304 383967 412409 511956 767934 824818 1023912 1237227 1535868 1649636 2474454 3071736 3299272 3711681 4948908 7423362 9897816 11135043 14846724 22270086 29693448 44540172 89080344