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9042336 = 253231397
BaseRepresentation
bin100010011111…
…100110100000
3122000101202100
4202133212200
54303323321
6521450400
7136600332
oct42374640
918011670
109042336
115116706
123040a00
131b479c4
1412b5452
15bd9326
hex89f9a0

9042336 has 36 divisors (see below), whose sum is σ = 25714962. Its totient is φ = 3014016.

The previous prime is 9042331. The next prime is 9042337. The reversal of 9042336 is 6332409.

It can be written as a sum of positive squares in only one way, i.e., 7952400 + 1089936 = 2820^2 + 1044^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (9042331) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 15411 + ... + 15986.

Almost surely, 29042336 is an apocalyptic number.

9042336 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

9042336 is an abundant number, since it is smaller than the sum of its proper divisors (16672626).

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

9042336 is a wasteful number, since it uses less digits than its factorization.

9042336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31413 (or 31402 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 9042336 is about 3007.0477216034. The cubic root of 9042336 is about 208.3340293666.

It can be divided in two parts, 904 and 2336, that added together give a triangular number (3240 = T80).

The spelling of 9042336 in words is "nine million, forty-two thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 31397 62794 94191 125588 188382 251176 282573 376764 502352 565146 753528 1004704 1130292 1507056 2260584 3014112 4521168 9042336