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80091414 = 232133161181
BaseRepresentation
bin1001100011000…
…01100100010110
312120201001202200
410301201210112
5131000411124
611540345330
71661523444
oct461414426
9176631680
1080091414
1141233957
12229a5246
1313792b90
14a8cbb94
157070bc9
hex4c61916

80091414 has 96 divisors (see below), whose sum is σ = 197154048. Its totient is φ = 23328000.

The previous prime is 80091397. The next prime is 80091419. The reversal of 80091414 is 41419008.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80091419) 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 47 ways as a sum of consecutive naturals, for example, 442404 + ... + 442584.

It is an arithmetic number, because the mean of its divisors is an integer number (2053688).

Almost surely, 280091414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80091414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98577024).

80091414 is an abundant number, since it is smaller than the sum of its proper divisors (117062634).

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

80091414 is a wasteful number, since it uses less digits than its factorization.

80091414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 80091414 is about 8949.3806489611. The cubic root of 80091414 is about 431.0509967776.

The spelling of 80091414 in words is "eighty million, ninety-one thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 13 18 26 31 39 61 62 78 93 117 122 181 183 186 234 279 362 366 403 543 549 558 793 806 1086 1098 1209 1586 1629 1891 2353 2379 2418 3258 3627 3782 4706 4758 5611 5673 7059 7137 7254 11041 11222 11346 14118 14274 16833 17019 21177 22082 24583 33123 33666 34038 42354 49166 50499 66246 72943 73749 99369 100998 143533 145886 147498 198738 218829 221247 287066 342271 430599 437658 442494 656487 684542 861198 1026813 1291797 1312974 2053626 2583594 3080439 4449523 6160878 8899046 13348569 26697138 40045707 80091414