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9042656 = 25727379
BaseRepresentation
bin100010011111…
…101011100000
3122000102012012
4202133223200
54303331111
6521452052
7136601300
oct42375340
918012165
109042656
115116977
123041028
131b47bac
1412b5600
15bd948b
hex89fae0

9042656 has 72 divisors (see below), whose sum is σ = 21258720. Its totient is φ = 3773952.

The previous prime is 9042647. The next prime is 9042707. The reversal of 9042656 is 6562409.

9042656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 114425 + ... + 114503.

It is an arithmetic number, because the mean of its divisors is an integer number (295260).

Almost surely, 29042656 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 9042656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10629360).

9042656 is an abundant number, since it is smaller than the sum of its proper divisors (12216064).

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

9042656 is a wasteful number, since it uses less digits than its factorization.

9042656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 32.

The square root of 9042656 is about 3007.1009294668. The cubic root of 9042656 is about 208.3364869212.

The spelling of 9042656 in words is "nine million, forty-two thousand, six hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 73 79 98 112 146 158 196 224 292 316 392 511 553 584 632 784 1022 1106 1168 1264 1568 2044 2212 2336 2528 3577 3871 4088 4424 5767 7154 7742 8176 8848 11534 14308 15484 16352 17696 23068 28616 30968 40369 46136 57232 61936 80738 92272 114464 123872 161476 184544 282583 322952 565166 645904 1130332 1291808 2260664 4521328 9042656