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80072448 = 283176133
BaseRepresentation
bin1001100010111…
…00111100000000
312120200002202020
410301130330000
5130444304243
611540121440
71661414241
oct461347400
9176602666
1080072448
1141220685
1222996280
1313787361
14a8c4cc8
15706a283
hex4c5cf00

80072448 has 72 divisors (see below), whose sum is σ = 225682128. Its totient is φ = 25116672.

The previous prime is 80072429. The next prime is 80072449. The reversal of 80072448 is 84427008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80072449) 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 7 ways as a sum of consecutive naturals, for example, 9990 + ... + 16122.

It is an arithmetic number, because the mean of its divisors is an integer number (3134474).

Almost surely, 280072448 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 80072448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112841064).

80072448 is an abundant number, since it is smaller than the sum of its proper divisors (145609680).

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

80072448 is a wasteful number, since it uses less digits than its factorization.

80072448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6169 (or 6155 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 33.

The square root of 80072448 is about 8948.3209598226. The cubic root of 80072448 is about 431.0169691659.

The spelling of 80072448 in words is "eighty million, seventy-two thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 256 272 384 408 544 768 816 1088 1632 2176 3264 4352 6133 6528 12266 13056 18399 24532 36798 49064 73596 98128 104261 147192 196256 208522 294384 312783 392512 417044 588768 625566 785024 834088 1177536 1251132 1570048 1668176 2355072 2502264 3336352 4710144 5004528 6672704 10009056 13345408 20018112 26690816 40036224 80072448