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9046368 = 2532101311
BaseRepresentation
bin100010100000…
…100101100000
3122000121021200
4202200211200
54303440433
6521521200
7136615152
oct42404540
918017250
109046368
115119741
123043200
131b497a6
1412b6ad2
15bda613
hex8a0960

9046368 has 72 divisors (see below), whose sum is σ = 26063856. Its totient is φ = 2976000.

The previous prime is 9046339. The next prime is 9046381. The reversal of 9046368 is 8636409.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28933 + ... + 29243.

It is an arithmetic number, because the mean of its divisors is an integer number (361998).

Almost surely, 29046368 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 9046368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13031928).

9046368 is an abundant number, since it is smaller than the sum of its proper divisors (17017488).

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

9046368 is a wasteful number, since it uses less digits than its factorization.

9046368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 9046368 is about 3007.7180718944. The cubic root of 9046368 is about 208.3649903183.

The spelling of 9046368 in words is "nine million, forty-six thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 101 144 202 288 303 311 404 606 622 808 909 933 1212 1244 1616 1818 1866 2424 2488 2799 3232 3636 3732 4848 4976 5598 7272 7464 9696 9952 11196 14544 14928 22392 29088 29856 31411 44784 62822 89568 94233 125644 188466 251288 282699 376932 502576 565398 753864 1005152 1130796 1507728 2261592 3015456 4523184 9046368