Search a number
-
+
49788736 = 26898741
BaseRepresentation
bin1011110111101…
…1011101000000
310110200112022021
42331323131000
5100221214421
64535051224
71143124444
oct275733500
9113615267
1049788736
1126117018
1214810b14
13a4131ba
146880824
154587341
hex2f7b740

49788736 has 28 divisors (see below), whose sum is σ = 99921060. Its totient is φ = 24611840.

The previous prime is 49788731. The next prime is 49788751. The reversal of 49788736 is 63788794.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 9339136 + 40449600 = 3056^2 + 6360^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49788731) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1326 + ... + 10066.

Almost surely, 249788736 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 49788736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49960530).

49788736 is an abundant number, since it is smaller than the sum of its proper divisors (50132324).

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

49788736 is an equidigital number, since it uses as much as digits as its factorization.

49788736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8842 (or 8832 counting only the distinct ones).

The product of its digits is 2032128, while the sum is 52.

The square root of 49788736 is about 7056.1133777739. The cubic root of 49788736 is about 367.8835485347.

The spelling of 49788736 in words is "forty-nine million, seven hundred eighty-eight thousand, seven hundred thirty-six".

Divisors: 1 2 4 8 16 32 64 89 178 356 712 1424 2848 5696 8741 17482 34964 69928 139856 279712 559424 777949 1555898 3111796 6223592 12447184 24894368 49788736