Search a number
-
+
49444432 = 2417437
BaseRepresentation
bin1011110010011…
…1011001010000
310110001001000021
42330213121100
5100124210212
64523433224
71140161602
oct274473120
9113031007
1049444432
1125a01374
1214685814
13a32257b
1467d1172
15451a307
hex2f27650

49444432 has 50 divisors (see below), whose sum is σ = 104536898. Its totient is φ = 22639104.

The previous prime is 49444427. The next prime is 49444501. The reversal of 49444432 is 23444494.

49444432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 5 ways, for example, as 8433216 + 41011216 = 2904^2 + 6404^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

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 9 ways as a sum of consecutive naturals, for example, 1336318 + ... + 1336354.

Almost surely, 249444432 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 49444432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52268449).

49444432 is an abundant number, since it is smaller than the sum of its proper divisors (55092466).

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

49444432 is an frugal number, since it uses more digits than its factorization.

49444432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 56 counting only the distinct ones).

The product of its digits is 55296, while the sum is 34.

The square root of 49444432 is about 7031.6734850247. The cubic root of 49444432 is about 367.0335779923.

The spelling of 49444432 in words is "forty-nine million, four hundred forty-four thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 17 34 37 68 74 136 148 272 289 296 578 592 629 1156 1258 2312 2516 4624 4913 5032 9826 10064 10693 19652 21386 39304 42772 78608 83521 85544 167042 171088 181781 334084 363562 668168 727124 1336336 1454248 2908496 3090277 6180554 12361108 24722216 49444432