Search a number
-
+
8536016 = 241943653
BaseRepresentation
bin100000100011…
…111111010000
3121001200012202
4200203333100
54141123031
6502542332
7132361226
oct40437720
917050182
108536016
114900265
122a379a8
1319cb3c8
1411c2b16
15b392cb
hex823fd0

8536016 has 40 divisors (see below), whose sum is σ = 17841120. Its totient is φ = 3943296.

The previous prime is 8536007. The next prime is 8536037. The reversal of 8536016 is 6106358.

It is a self number, because there is not a number n which added to its sum of digits gives 8536016.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 12746 + ... + 13398.

It is an arithmetic number, because the mean of its divisors is an integer number (446028).

Almost surely, 28536016 is an apocalyptic number.

8536016 is a gapful number since it is divisible by the number (86) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8536016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8920560).

8536016 is an abundant number, since it is smaller than the sum of its proper divisors (9305104).

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

8536016 is a wasteful number, since it uses less digits than its factorization.

8536016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 723 (or 717 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 8536016 is about 2921.6461113557. The cubic root of 8536016 is about 204.3705938193.

The spelling of 8536016 in words is "eight million, five hundred thirty-six thousand, sixteen".

Divisors: 1 2 4 8 16 19 38 43 76 86 152 172 304 344 653 688 817 1306 1634 2612 3268 5224 6536 10448 12407 13072 24814 28079 49628 56158 99256 112316 198512 224632 449264 533501 1067002 2134004 4268008 8536016