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80906408 = 23112195383
BaseRepresentation
bin1001101001010…
…00100010101000
312122020110201122
410310220202220
5131203001113
612010034412
72001456512
oct464504250
9178213648
1080906408
1141740200
1223118a08
13139b9b1b
14aa60bb2
157182408
hex4d288a8

80906408 has 96 divisors (see below), whose sum is σ = 180986400. Its totient is φ = 33770880.

The previous prime is 80906401. The next prime is 80906443. The reversal of 80906408 is 80460908.

It is not an unprimeable number, because it can be changed into a prime (80906401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 974735 + ... + 974817.

It is an arithmetic number, because the mean of its divisors is an integer number (1885275).

Almost surely, 280906408 is an apocalyptic number.

80906408 is a gapful number since it is divisible by the number (88) 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 80906408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90493200).

80906408 is an abundant number, since it is smaller than the sum of its proper divisors (100079992).

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

80906408 is a wasteful number, since it uses less digits than its factorization.

80906408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 35.

The square root of 80906408 is about 8994.7989416106. The cubic root of 80906408 is about 432.5081611611.

The spelling of 80906408 in words is "eighty million, nine hundred six thousand, four hundred eight".

Divisors: 1 2 4 8 11 19 22 38 44 53 76 83 88 106 121 152 166 209 212 242 332 418 424 484 583 664 836 913 968 1007 1166 1577 1672 1826 2014 2299 2332 3154 3652 4028 4399 4598 4664 6308 6413 7304 8056 8798 9196 10043 11077 12616 12826 17347 17596 18392 20086 22154 25652 34694 35192 40172 44308 48389 51304 69388 80344 83581 88616 96778 121847 138776 167162 190817 193556 243694 334324 381634 387112 487388 532279 668648 763268 919391 974776 1064558 1526536 1838782 2129116 3677564 4258232 7355128 10113301 20226602 40453204 80906408