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80204608 = 2611210357
BaseRepresentation
bin1001100011111…
…01001101000000
312120220211001001
410301331031000
5131013021413
611543021344
71662504451
oct461751500
9176824031
1080204608
1141300a00
1222a3a854
1313802563
14a91b128
1570944dd
hex4c7d340

80204608 has 42 divisors (see below), whose sum is σ = 174956978. Its totient is φ = 36453120.

The previous prime is 80204599. The next prime is 80204609. The reversal of 80204608 is 80640208.

It can be written as a sum of positive squares in only one way, i.e., 68425984 + 11778624 = 8272^2 + 3432^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80204609) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2566 + ... + 12922.

Almost surely, 280204608 is an apocalyptic number.

80204608 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 80204608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87478489).

80204608 is an abundant number, since it is smaller than the sum of its proper divisors (94752370).

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

80204608 is a wasteful number, since it uses less digits than its factorization.

80204608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10391 (or 10370 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 80204608 is about 8955.7025408396. The cubic root of 80204608 is about 431.2539707539.

Subtracting 80204608 from its reverse (80640208), we obtain a square (435600 = 6602).

The spelling of 80204608 in words is "eighty million, two hundred four thousand, six hundred eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 176 242 352 484 704 968 1936 3872 7744 10357 20714 41428 82856 113927 165712 227854 331424 455708 662848 911416 1253197 1822832 2506394 3645664 5012788 7291328 10025576 20051152 40102304 80204608