Search a number
-
+
46048728 = 233112101157
BaseRepresentation
bin1010111110101…
…0010111011000
310012122111222110
42233222113120
543242024403
64322552320
71066256565
oct257522730
9105574873
1046048728
1123aa2100
12135086a0
139703a8b
14618986c
154099103
hex2bea5d8

46048728 has 96 divisors (see below), whose sum is σ = 128605680. Its totient is φ = 13728000.

The previous prime is 46048703. The next prime is 46048741. The reversal of 46048728 is 82784064.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 293226 + ... + 293382.

Almost surely, 246048728 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 46048728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64302840).

46048728 is an abundant number, since it is smaller than the sum of its proper divisors (82556952).

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

46048728 is a wasteful number, since it uses less digits than its factorization.

46048728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 39.

The square root of 46048728 is about 6785.9213081202. The cubic root of 46048728 is about 358.4312603938.

The spelling of 46048728 in words is "forty-six million, forty-eight thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 101 121 132 157 202 242 264 303 314 363 404 471 484 606 628 726 808 942 968 1111 1212 1256 1452 1727 1884 2222 2424 2904 3333 3454 3768 4444 5181 6666 6908 8888 10362 12221 13332 13816 15857 18997 20724 24442 26664 31714 36663 37994 41448 47571 48884 56991 63428 73326 75988 95142 97768 113982 126856 146652 151976 174427 190284 227964 293304 348854 380568 455928 523281 697708 1046562 1395416 1918697 2093124 3837394 4186248 5756091 7674788 11512182 15349576 23024364 46048728