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80873088 = 273474481
BaseRepresentation
bin1001101001000…
…00011010000000
312122011210000120
410310200122000
5131200414323
612005220240
72001260412
oct464403200
9178153016
1080873088
114171816a
1223101680
13139a78ca
14aa529b2
1571775e3
hex4d20680

80873088 has 64 divisors (see below), whose sum is σ = 219438720. Its totient is φ = 26378240.

The previous prime is 80873081. The next prime is 80873113. The reversal of 80873088 is 88037808.

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

It is not an unprimeable number, because it can be changed into a prime (80873081) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15808 + ... + 20288.

It is an arithmetic number, because the mean of its divisors is an integer number (3428730).

Almost surely, 280873088 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 80873088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109719360).

80873088 is an abundant number, since it is smaller than the sum of its proper divisors (138565632).

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

80873088 is a wasteful number, since it uses less digits than its factorization.

80873088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4545 (or 4533 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 42.

The square root of 80873088 is about 8992.9465693954. The cubic root of 80873088 is about 432.4487791703.

It can be divided in two parts, 8087 and 3088, that added together give a triangular number (11175 = T149).

The spelling of 80873088 in words is "eighty million, eight hundred seventy-three thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 64 94 96 128 141 188 192 282 376 384 564 752 1128 1504 2256 3008 4481 4512 6016 8962 9024 13443 17924 18048 26886 35848 53772 71696 107544 143392 210607 215088 286784 421214 430176 573568 631821 842428 860352 1263642 1684856 1720704 2527284 3369712 5054568 6739424 10109136 13478848 20218272 26957696 40436544 80873088