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9057096 = 23361553
BaseRepresentation
bin100010100011…
…001101001000
3122001011000000
4202203031020
54304311341
6522043000
7136661346
oct42431510
918034000
109057096
115126804
123049460
131b51639
1412ba996
15bdd8b6
hex8a3348

9057096 has 56 divisors (see below), whose sum is σ = 25477830. Its totient is φ = 3017088.

The previous prime is 9057079. The next prime is 9057109. The reversal of 9057096 is 6907509.

It can be written as a sum of positive squares in only one way, i.e., 8820900 + 236196 = 2970^2 + 486^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 9057096.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 5056 + ... + 6608.

Almost surely, 29057096 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 9057096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12738915).

9057096 is an abundant number, since it is smaller than the sum of its proper divisors (16420734).

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

9057096 is a wasteful number, since it uses less digits than its factorization.

9057096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1577 (or 1558 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 36.

The square root of 9057096 is about 3009.5009553080. The cubic root of 9057096 is about 208.4473237872.

It can be divided in two parts, 905 and 7096, that added together give a triangular number (8001 = T126).

The spelling of 9057096 in words is "nine million, fifty-seven thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 729 972 1458 1553 1944 2916 3106 4659 5832 6212 9318 12424 13977 18636 27954 37272 41931 55908 83862 111816 125793 167724 251586 335448 377379 503172 754758 1006344 1132137 1509516 2264274 3019032 4528548 9057096