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49046256 = 243373331
BaseRepresentation
bin1011101100011…
…0001011110000
310102021210211000
42323012023300
5100023440011
64511122000
71133613000
oct273061360
9112253730
1049046256
112575a1a6
1214513300
13a21326c
14672a000
15448c356
hex2ec62f0

49046256 has 160 divisors (see below), whose sum is σ = 164672000. Its totient is φ = 13970880.

The previous prime is 49046237. The next prime is 49046293. The reversal of 49046256 is 65264094.

49046256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 49046256.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 148011 + ... + 148341.

It is an arithmetic number, because the mean of its divisors is an integer number (1029200).

Almost surely, 249046256 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 49046256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82336000).

49046256 is an abundant number, since it is smaller than the sum of its proper divisors (115625744).

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

49046256 is a wasteful number, since it uses less digits than its factorization.

49046256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 49046256 is about 7003.3032206238. The cubic root of 49046256 is about 366.0456809416.

The spelling of 49046256 in words is "forty-nine million, forty-six thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 49 54 56 63 72 84 98 108 112 126 144 147 168 189 196 216 252 294 331 336 343 378 392 432 441 504 588 662 686 756 784 882 993 1008 1029 1176 1323 1324 1372 1512 1764 1986 2058 2317 2352 2646 2648 2744 2979 3024 3087 3528 3972 4116 4634 5292 5296 5488 5958 6174 6951 7056 7944 8232 8937 9261 9268 10584 11916 12348 13902 15888 16219 16464 17874 18522 18536 20853 21168 23832 24696 27804 32438 35748 37044 37072 41706 47664 48657 49392 55608 62559 64876 71496 74088 83412 97314 111216 113533 125118 129752 142992 145971 148176 166824 194628 227066 250236 259504 291942 333648 340599 389256 437913 454132 500472 583884 681198 778512 875826 908264 1000944 1021797 1167768 1362396 1751652 1816528 2043594 2335536 2724792 3065391 3503304 4087188 5449584 6130782 7006608 8174376 12261564 16348752 24523128 49046256