Search a number
-
+
80092512 = 2532476197
BaseRepresentation
bin1001100011000…
…01110101100000
312120201010021100
410301201311200
5131000430022
611540354400
71661526603
oct461416540
9176633240
1080092512
1141234765
12229a5a00
1313793526
14a8cc33a
1570711ac
hex4c61d60

80092512 has 144 divisors (see below), whose sum is σ = 238859712. Its totient is φ = 25436160.

The previous prime is 80092511. The next prime is 80092549. The reversal of 80092512 is 21529008.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80092511) 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 23 ways as a sum of consecutive naturals, for example, 825648 + ... + 825744.

It is an arithmetic number, because the mean of its divisors is an integer number (1658748).

Almost surely, 280092512 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 80092512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119429856).

80092512 is an abundant number, since it is smaller than the sum of its proper divisors (158767200).

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

80092512 is a wasteful number, since it uses less digits than its factorization.

80092512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 80092512 is about 8949.4419937782. The cubic root of 80092512 is about 431.0529665760.

The spelling of 80092512 in words is "eighty million, ninety-two thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 47 48 61 72 94 96 97 122 141 144 183 188 194 244 282 288 291 366 376 388 423 488 549 564 582 732 752 776 846 873 976 1098 1128 1164 1464 1504 1552 1692 1746 1952 2196 2256 2328 2867 2928 3104 3384 3492 4392 4512 4559 4656 5734 5856 5917 6768 6984 8601 8784 9118 9312 11468 11834 13536 13677 13968 17202 17568 17751 18236 22936 23668 25803 27354 27936 34404 35502 36472 41031 45872 47336 51606 53253 54708 68808 71004 72944 82062 91744 94672 103212 106506 109416 137616 142008 145888 164124 189344 206424 213012 218832 275232 278099 284016 328248 412848 426024 437664 556198 568032 656496 825696 834297 852048 1112396 1312992 1668594 1704096 2224792 2502891 3337188 4449584 5005782 6674376 8899168 10011564 13348752 20023128 26697504 40046256 80092512