Search a number
-
+
92381696 = 291147349
BaseRepresentation
bin1011000000110…
…10001000000000
320102211110212022
411200122020000
5142122203241
613100021012
72201142251
oct540321000
9212743768
1092381696
1148168810
1226b31768
13161a7034
14c3aab28
15819c54b
hex581a200

92381696 has 80 divisors (see below), whose sum is σ = 206236800. Its totient is φ = 40980480.

The previous prime is 92381693. The next prime is 92381753. The reversal of 92381696 is 69618329.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (92381693) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 264530 + ... + 264878.

It is an arithmetic number, because the mean of its divisors is an integer number (2577960).

Almost surely, 292381696 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 92381696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103118400).

92381696 is an abundant number, since it is smaller than the sum of its proper divisors (113855104).

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

92381696 is a wasteful number, since it uses less digits than its factorization.

92381696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425 (or 409 counting only the distinct ones).

The product of its digits is 139968, while the sum is 44.

The square root of 92381696 is about 9611.5397309692. The cubic root of 92381696 is about 452.0591981358.

The spelling of 92381696 in words is "ninety-two million, three hundred eighty-one thousand, six hundred ninety-six".

Divisors: 1 2 4 8 11 16 22 32 44 47 64 88 94 128 176 188 256 349 352 376 512 517 698 704 752 1034 1396 1408 1504 2068 2792 2816 3008 3839 4136 5584 5632 6016 7678 8272 11168 12032 15356 16403 16544 22336 24064 30712 32806 33088 44672 61424 65612 66176 89344 122848 131224 132352 178688 180433 245696 262448 264704 360866 491392 524896 721732 982784 1049792 1443464 1965568 2099584 2886928 4199168 5773856 8398336 11547712 23095424 46190848 92381696