Search a number
-
+
49753088 = 210711631
BaseRepresentation
bin1011110111001…
…0110000000000
310110121201101222
42331302300000
5100214044323
64534214212
71142615510
oct275626000
9113551358
1049753088
11260a2260
12147b4368
13a3ccbc8
146871840
15457b9c8
hex2f72c00

49753088 has 88 divisors (see below), whose sum is σ = 124195584. Its totient is φ = 19353600.

The previous prime is 49753073. The next prime is 49753097. The reversal of 49753088 is 88035794.

It is a tau number, because it is divible by the number of its divisors (88).

It is a Harshad number since it is a multiple of its sum of digits (44).

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 7 ways as a sum of consecutive naturals, for example, 78533 + ... + 79163.

Almost surely, 249753088 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 49753088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62097792).

49753088 is an abundant number, since it is smaller than the sum of its proper divisors (74442496).

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

49753088 is a wasteful number, since it uses less digits than its factorization.

49753088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 669 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 44.

The square root of 49753088 is about 7053.5868889523. The cubic root of 49753088 is about 367.7957278419.

The spelling of 49753088 in words is "forty-nine million, seven hundred fifty-three thousand, eighty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 128 154 176 224 256 308 352 448 512 616 631 704 896 1024 1232 1262 1408 1792 2464 2524 2816 3584 4417 4928 5048 5632 6941 7168 8834 9856 10096 11264 13882 17668 19712 20192 27764 35336 39424 40384 48587 55528 70672 78848 80768 97174 111056 141344 161536 194348 222112 282688 323072 388696 444224 565376 646144 777392 888448 1130752 1554784 1776896 2261504 3109568 3553792 4523008 6219136 7107584 12438272 24876544 49753088