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80260272 = 24321075209
BaseRepresentation
bin1001100100010…
…10110010110000
312121000122101200
410302022302300
5131021312042
611544131200
71663125651
oct462126260
9177018350
1080260272
1141339804
1222a66b00
13138219b1
14a933528
1570a5c4c
hex4c8acb0

80260272 has 60 divisors (see below), whose sum is σ = 226760040. Its totient is φ = 26498304.

The previous prime is 80260267. The next prime is 80260273. The reversal of 80260272 is 27206208.

It is a super-2 number, since 2×802602722 = 12883422523027968, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (80260273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12804 + ... + 18012.

It is an arithmetic number, because the mean of its divisors is an integer number (3779334).

Almost surely, 280260272 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 80260272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113380020).

80260272 is an abundant number, since it is smaller than the sum of its proper divisors (146499768).

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

80260272 is a wasteful number, since it uses less digits than its factorization.

80260272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5330 (or 5321 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 80260272 is about 8958.8097423709. The cubic root of 80260272 is about 431.3537146894.

The spelling of 80260272 in words is "eighty million, two hundred sixty thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 107 144 214 321 428 642 856 963 1284 1712 1926 2568 3852 5136 5209 7704 10418 15408 15627 20836 31254 41672 46881 62508 83344 93762 125016 187524 250032 375048 557363 750096 1114726 1672089 2229452 3344178 4458904 5016267 6688356 8917808 10032534 13376712 20065068 26753424 40130136 80260272