Search a number
-
+
46790856 = 23327263353
BaseRepresentation
bin1011001001111…
…1100011001000
310021001012222200
42302133203020
543434301411
64350520200
71105500330
oct262374310
9107035880
1046790856
1124459732
1213806060
1399037c8
1463000c0
154193e56
hex2c9f8c8

46790856 has 96 divisors (see below), whose sum is σ = 145791360. Its totient is φ = 13280256.

The previous prime is 46790839. The next prime is 46790879. The reversal of 46790856 is 65809764.

46790856 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 132376 + ... + 132728.

It is an arithmetic number, because the mean of its divisors is an integer number (1518660).

Almost surely, 246790856 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 46790856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72895680).

46790856 is an abundant number, since it is smaller than the sum of its proper divisors (99000504).

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

46790856 is a wasteful number, since it uses less digits than its factorization.

46790856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635 (or 628 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 46790856 is about 6840.3841997362. The cubic root of 46790856 is about 360.3465182035.

The spelling of 46790856 in words is "forty-six million, seven hundred ninety thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 263 353 504 526 706 789 1052 1059 1412 1578 1841 2104 2118 2367 2471 2824 3156 3177 3682 4236 4734 4942 5523 6312 6354 7364 7413 8472 9468 9884 11046 12708 14728 14826 16569 18936 19768 22092 22239 25416 29652 33138 44184 44478 59304 66276 88956 92839 132552 177912 185678 278517 371356 557034 649873 742712 835551 1114068 1299746 1671102 1949619 2228136 2599492 3342204 3899238 5198984 5848857 6684408 7798476 11697714 15596952 23395428 46790856