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80053314 = 231147131197
BaseRepresentation
bin1001100010110…
…00010001000010
312120122010111120
410301120101002
5130443201224
611535453110
71661304405
oct461302102
9176563446
1080053314
1141208270
1222987196
131377b733
14a8bbd3c
157064779
hex4c58442

80053314 has 64 divisors (see below), whose sum is σ = 180652032. Its totient is φ = 23441600.

The previous prime is 80053313. The next prime is 80053319. The reversal of 80053314 is 41335008.

It is a super-3 number, since 3×800533143 (a number of 25 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (80053313) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 406264 + ... + 406460.

It is an arithmetic number, because the mean of its divisors is an integer number (2822688).

Almost surely, 280053314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80053314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90326016).

80053314 is an abundant number, since it is smaller than the sum of its proper divisors (100598718).

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

80053314 is a wasteful number, since it uses less digits than its factorization.

80053314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391.

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 80053314 is about 8947.2517568246. The cubic root of 80053314 is about 430.9826346939.

The spelling of 80053314 in words is "eighty million, fifty-three thousand, three hundred fourteen".

Divisors: 1 2 3 6 11 22 33 47 66 94 131 141 197 262 282 393 394 517 591 786 1034 1182 1441 1551 2167 2882 3102 4323 4334 6157 6501 8646 9259 12314 13002 18471 18518 25807 27777 36942 51614 55554 67727 77421 101849 135454 154842 203181 203698 283877 305547 406362 567754 611094 851631 1212929 1703262 2425858 3638787 7277574 13342219 26684438 40026657 80053314