Search a number
-
+
40981296 = 2435389181
BaseRepresentation
bin1001110001010…
…1001100110000
32212010001202210
42130111030300
540442400141
64022212120
71005222666
oct234251460
985101683
1040981296
1121150944
1211884040
13864b3b5
14562ac36
1538e7916
hex2715330

40981296 has 80 divisors (see below), whose sum is σ = 109680480. Its totient is φ = 13178880.

The previous prime is 40981289. The next prime is 40981301. The reversal of 40981296 is 69218904.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 226326 + ... + 226506.

It is an arithmetic number, because the mean of its divisors is an integer number (1371006).

Almost surely, 240981296 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 40981296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54840240).

40981296 is an abundant number, since it is smaller than the sum of its proper divisors (68699184).

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

40981296 is a wasteful number, since it uses less digits than its factorization.

40981296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The square root of 40981296 is about 6401.6635338012. The cubic root of 40981296 is about 344.7692807332.

The spelling of 40981296 in words is "forty million, nine hundred eighty-one thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 53 89 106 159 178 181 212 267 318 356 362 424 534 543 636 712 724 848 1068 1086 1272 1424 1448 2136 2172 2544 2896 4272 4344 4717 8688 9434 9593 14151 16109 18868 19186 28302 28779 32218 37736 38372 48327 56604 57558 64436 75472 76744 96654 113208 115116 128872 153488 193308 226416 230232 257744 386616 460464 773232 853777 1707554 2561331 3415108 5122662 6830216 10245324 13660432 20490648 40981296