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80083332 = 223272341337
BaseRepresentation
bin1001100010111…
…11100110000100
312120200122200100
410301133212010
5131000131312
611540244100
71661461050
oct461374604
9176618610
1080083332
114122887a
12229a0630
131378c2b4
14a8c8c60
15706d5dc
hex4c5f984

80083332 has 144 divisors (see below), whose sum is σ = 248032512. Its totient is φ = 21288960.

The previous prime is 80083319. The next prime is 80083337. The reversal of 80083332 is 23338008.

It is a junction number, because it is equal to n+sod(n) for n = 80083296 and 80083305.

It is not an unprimeable number, because it can be changed into a prime (80083337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 237468 + ... + 237804.

It is an arithmetic number, because the mean of its divisors is an integer number (1722448).

Almost surely, 280083332 is an apocalyptic number.

80083332 is a gapful number since it is divisible by the number (82) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80083332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124016256).

80083332 is an abundant number, since it is smaller than the sum of its proper divisors (167949180).

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

80083332 is a wasteful number, since it uses less digits than its factorization.

80083332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 80083332 is about 8948.9290979424. The cubic root of 80083332 is about 431.0364972153.

The spelling of 80083332 in words is "eighty million, eighty-three thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 23 28 36 41 42 46 63 69 82 84 92 123 126 138 161 164 207 246 252 276 287 322 337 369 414 483 492 574 644 674 738 828 861 943 966 1011 1148 1348 1449 1476 1722 1886 1932 2022 2359 2583 2829 2898 3033 3444 3772 4044 4718 5166 5658 5796 6066 6601 7077 7751 8487 9436 10332 11316 12132 13202 13817 14154 15502 16974 19803 21231 23253 26404 27634 28308 31004 33948 39606 41451 42462 46506 54257 55268 59409 69759 79212 82902 84924 93012 96719 108514 118818 124353 139518 162771 165804 193438 217028 237636 248706 279036 290157 317791 325542 386876 488313 497412 580314 635582 651084 870471 953373 976626 1160628 1271164 1740942 1906746 1953252 2224537 2860119 3481884 3813492 4449074 5720238 6673611 8898148 11440476 13347222 20020833 26694444 40041666 80083332