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8534016 = 21132463
BaseRepresentation
bin100000100011…
…100000000000
3121001120110200
4200203200000
54141042031
6502525200
7132352341
oct40434000
917046420
108534016
1148a9807
122a36800
1319ca51a
1411c20c8
15b388e6
hex823800

8534016 has 72 divisors (see below), whose sum is σ = 24701040. Its totient is φ = 2838528.

The previous prime is 8534011. The next prime is 8534023. The reversal of 8534016 is 6104358.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8534011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 18201 + ... + 18663.

It is an arithmetic number, because the mean of its divisors is an integer number (343070).

Almost surely, 28534016 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 8534016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12350520).

8534016 is an abundant number, since it is smaller than the sum of its proper divisors (16167024).

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

8534016 is a wasteful number, since it uses less digits than its factorization.

8534016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 8534016 is about 2921.3038185030. The cubic root of 8534016 is about 204.3546311378.

The spelling of 8534016 in words is "eight million, five hundred thirty-four thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 463 512 576 768 926 1024 1152 1389 1536 1852 2048 2304 2778 3072 3704 4167 4608 5556 6144 7408 8334 9216 11112 14816 16668 18432 22224 29632 33336 44448 59264 66672 88896 118528 133344 177792 237056 266688 355584 474112 533376 711168 948224 1066752 1422336 2133504 2844672 4267008 8534016