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80642304 = 28343889
BaseRepresentation
bin1001100111010…
…00000100000000
312121202001110000
410303220010000
5131121023204
612000240000
71666306521
oct463500400
9177661400
1080642304
114157a836
1223010000
1313926852
14a9d2848
15712e039
hex4ce8100

80642304 has 90 divisors (see below), whose sum is σ = 240522590. Its totient is φ = 26873856.

The previous prime is 80642293. The next prime is 80642323. The reversal of 80642304 is 40324608.

It can be written as a sum of positive squares in only one way, i.e., 74649600 + 5992704 = 8640^2 + 2448^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 18792 + ... + 22680.

Almost surely, 280642304 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 80642304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120261295).

80642304 is an abundant number, since it is smaller than the sum of its proper divisors (159880286).

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

80642304 is an equidigital number, since it uses as much as digits as its factorization.

80642304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3917 (or 3894 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 80642304 is about 8980.1060127373. The cubic root of 80642304 is about 432.0370338622.

The spelling of 80642304 in words is "eighty million, six hundred forty-two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 576 648 768 864 1152 1296 1728 2304 2592 3456 3889 5184 6912 7778 10368 11667 15556 20736 23334 31112 35001 46668 62224 70002 93336 105003 124448 140004 186672 210006 248896 280008 315009 373344 420012 497792 560016 630018 746688 840024 995584 1120032 1260036 1493376 1680048 2240064 2520072 2986752 3360096 4480128 5040144 6720192 8960256 10080288 13440384 20160576 26880768 40321152 80642304