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9012816 = 243331673
BaseRepresentation
bin100010011000…
…011001010000
3121221220021000
4202120121100
54301402231
6521102000
7136415301
oct42303120
917856230
109012816
1150a650a
123027900
131b37437
1412a87a8
15bd06e6
hex898650

9012816 has 80 divisors (see below), whose sum is σ = 26744320. Its totient is φ = 2903040.

The previous prime is 9012797. The next prime is 9012833. The reversal of 9012816 is 6182109.

9012816 is digitally balanced in base 5, 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 (27).

It is a self number, because there is not a number n which added to its sum of digits gives 9012816.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13056 + ... + 13728.

It is an arithmetic number, because the mean of its divisors is an integer number (334304).

Almost surely, 29012816 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 9012816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13372160).

9012816 is an abundant number, since it is smaller than the sum of its proper divisors (17731504).

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

9012816 is a wasteful number, since it uses less digits than its factorization.

9012816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 721 (or 709 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 9012816 is about 3002.1352401249. The cubic root of 9012816 is about 208.1070701217.

The spelling of 9012816 in words is "nine million, twelve thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 36 48 54 62 72 93 108 124 144 186 216 248 279 372 432 496 558 673 744 837 1116 1346 1488 1674 2019 2232 2692 3348 4038 4464 5384 6057 6696 8076 10768 12114 13392 16152 18171 20863 24228 32304 36342 41726 48456 62589 72684 83452 96912 125178 145368 166904 187767 250356 290736 333808 375534 500712 563301 751068 1001424 1126602 1502136 2253204 3004272 4506408 9012816