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83216256 = 273375857
BaseRepresentation
bin1001111010111…
…00011110000000
312210120211020120
410331130132000
5132300410011
612131340240
72030216664
oct475343600
9183524216
1083216256
1142a78672
1223a51680
13143182b6
14b0a28a4
15748ba06
hex4f5c780

83216256 has 64 divisors (see below), whose sum is σ = 227056080. Its totient is φ = 26984448.

The previous prime is 83216249. The next prime is 83216281. The reversal of 83216256 is 65261238.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11280 + ... + 17136.

Almost surely, 283216256 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 83216256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113528040).

83216256 is an abundant number, since it is smaller than the sum of its proper divisors (143839824).

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

83216256 is a wasteful number, since it uses less digits than its factorization.

83216256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5911 (or 5899 counting only the distinct ones).

The product of its digits is 17280, while the sum is 33.

The square root of 83216256 is about 9122.2944482186. The cubic root of 83216256 is about 436.5855835567.

The spelling of 83216256 in words is "eighty-three million, two hundred sixteen thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 128 148 192 222 296 384 444 592 888 1184 1776 2368 3552 4736 5857 7104 11714 14208 17571 23428 35142 46856 70284 93712 140568 187424 216709 281136 374848 433418 562272 650127 749696 866836 1124544 1300254 1733672 2249088 2600508 3467344 5201016 6934688 10402032 13869376 20804064 27738752 41608128 83216256