Search a number
-
+
80746512 = 24372113121
BaseRepresentation
bin1001101000000…
…01100000010000
312121221100101120
410310001200100
5131132342022
612002402240
72000222400
oct464014020
9177840346
1080746512
1141641060
1223060380
1313962102
14aa1c800
15714ed5c
hex4d01810

80746512 has 120 divisors (see below), whose sum is σ = 264795552. Its totient is φ = 20966400.

The previous prime is 80746459. The next prime is 80746531. The reversal of 80746512 is 21564708.

It is a super-2 number, since 2×807465122 = 13039998400332288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24312 + ... + 27432.

Almost surely, 280746512 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 80746512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132397776).

80746512 is an abundant number, since it is smaller than the sum of its proper divisors (184049040).

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

80746512 is a wasteful number, since it uses less digits than its factorization.

80746512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3157 (or 3144 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 80746512 is about 8985.9062981983. The cubic root of 80746512 is about 432.2230501099.

The spelling of 80746512 in words is "eighty million, seven hundred forty-six thousand, five hundred twelve".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 49 56 66 77 84 88 98 112 132 147 154 168 176 196 231 264 294 308 336 392 462 528 539 588 616 784 924 1078 1176 1232 1617 1848 2156 2352 3121 3234 3696 4312 6242 6468 8624 9363 12484 12936 18726 21847 24968 25872 34331 37452 43694 49936 65541 68662 74904 87388 102993 131082 137324 149808 152929 174776 205986 240317 262164 274648 305858 349552 411972 458787 480634 524328 549296 611716 720951 823944 917574 961268 1048656 1223432 1441902 1647888 1682219 1835148 1922536 2446864 2883804 3364438 3670296 3845072 5046657 5767608 6728876 7340592 10093314 11535216 13457752 20186628 26915504 40373256 80746512