Search a number
-
+
80938224 = 243317103107
BaseRepresentation
bin1001101001100…
…00010011110000
312122022002101000
410310300103300
5131210010344
612010442000
72001651333
oct464602360
9178262330
1080938224
11417620a4
1223133300
13139cb453
14aa6c61a
15718ba69
hex4d304f0

80938224 has 160 divisors (see below), whose sum is σ = 250698240. Its totient is φ = 24910848.

The previous prime is 80938201. The next prime is 80938229. The reversal of 80938224 is 42283908.

It is a super-2 number, since 2×809382242 = 13101992208548352, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80938229) 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 31 ways as a sum of consecutive naturals, for example, 756379 + ... + 756485.

It is an arithmetic number, because the mean of its divisors is an integer number (1566864).

Almost surely, 280938224 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 80938224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125349120).

80938224 is an abundant number, since it is smaller than the sum of its proper divisors (169760016).

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

80938224 is a wasteful number, since it uses less digits than its factorization.

80938224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 80938224 is about 8996.5673453823. The cubic root of 80938224 is about 432.5648475498.

The spelling of 80938224 in words is "eighty million, nine hundred thirty-eight thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 68 72 102 103 107 108 136 144 153 204 206 214 216 272 306 309 321 408 412 428 432 459 612 618 642 816 824 856 918 927 963 1224 1236 1284 1648 1712 1751 1819 1836 1854 1926 2448 2472 2568 2781 2889 3502 3638 3672 3708 3852 4944 5136 5253 5457 5562 5778 7004 7276 7344 7416 7704 10506 10914 11021 11124 11556 14008 14552 14832 15408 15759 16371 21012 21828 22042 22248 23112 28016 29104 31518 32742 33063 42024 43656 44084 44496 46224 47277 49113 63036 65484 66126 84048 87312 88168 94554 98226 99189 126072 130968 132252 176336 187357 189108 196452 198378 252144 261936 264504 297567 374714 378216 392904 396756 529008 562071 595134 749428 756432 785808 793512 1124142 1190268 1498856 1587024 1686213 2248284 2380536 2997712 3372426 4496568 4761072 5058639 6744852 8993136 10117278 13489704 20234556 26979408 40469112 80938224