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9046072 = 237672411
BaseRepresentation
bin100010100000…
…100000111000
3122000120212201
4202200200320
54303433242
6521515544
7136614250
oct42404070
918016781
109046072
1151194a2
123042bb4
131b49609
1412b6960
15bda4b7
hex8a0838

9046072 has 32 divisors (see below), whose sum is σ = 19681920. Its totient is φ = 3817440.

The previous prime is 9046069. The next prime is 9046073. The reversal of 9046072 is 2706409.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 9046072.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9046073) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 2547 + ... + 4957.

It is an arithmetic number, because the mean of its divisors is an integer number (615060).

Almost surely, 29046072 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 9046072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9840960).

9046072 is an abundant number, since it is smaller than the sum of its proper divisors (10635848).

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

9046072 is a wasteful number, since it uses less digits than its factorization.

9046072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2491 (or 2487 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 9046072 is about 3007.6688647522. The cubic root of 9046072 is about 208.3627177042.

The spelling of 9046072 in words is "nine million, forty-six thousand, seventy-two".

Divisors: 1 2 4 7 8 14 28 56 67 134 268 469 536 938 1876 2411 3752 4822 9644 16877 19288 33754 67508 135016 161537 323074 646148 1130759 1292296 2261518 4523036 9046072