Search a number
-
+
46894224 = 24313223337
BaseRepresentation
bin1011001011100…
…0110010010000
310021020110210010
42302320302100
544001103344
64353034520
71106410566
oct262706220
9107213703
1046894224
112451a363
1213855a40
13993b880
146329a36
1541b48b9
hex2cb8c90

46894224 has 80 divisors (see below), whose sum is σ = 131436032. Its totient is φ = 14321664.

The previous prime is 46894219. The next prime is 46894229. The reversal of 46894224 is 42249864.

It is an interprime number because it is at equal distance from previous prime (46894219) and next prime (46894229).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (46894229) 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 15 ways as a sum of consecutive naturals, for example, 138984 + ... + 139320.

Almost surely, 246894224 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 46894224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65718016).

46894224 is an abundant number, since it is smaller than the sum of its proper divisors (84541808).

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

46894224 is a wasteful number, since it uses less digits than its factorization.

46894224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584 (or 578 counting only the distinct ones).

The product of its digits is 110592, while the sum is 39.

The square root of 46894224 is about 6847.9357473621. The cubic root of 46894224 is about 360.6116761615.

The spelling of 46894224 in words is "forty-six million, eight hundred ninety-four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 223 312 337 446 624 669 674 892 1011 1338 1348 1784 2022 2676 2696 2899 3568 4044 4381 5352 5392 5798 8088 8697 8762 10704 11596 13143 16176 17394 17524 23192 26286 34788 35048 46384 52572 69576 70096 75151 105144 139152 150302 210288 225453 300604 450906 601208 901812 976963 1202416 1803624 1953926 2930889 3607248 3907852 5861778 7815704 11723556 15631408 23447112 46894224