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49788936 = 2332977129
BaseRepresentation
bin1011110111101…
…1100000001000
310110200112120200
42331323200020
5100221221221
64535052200
71143125151
oct275734010
9113615520
1049788936
112611718a
1214811060
13a413312
146880928
154587426
hex2f7b808

49788936 has 48 divisors (see below), whose sum is σ = 136254300. Its totient is φ = 16422912.

The previous prime is 49788931. The next prime is 49788943. The reversal of 49788936 is 63988794.

49788936 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 2 ways, for example, as 49702500 + 86436 = 7050^2 + 294^2 .

It is not an unprimeable number, because it can be changed into a prime (49788931) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 3420 + ... + 10548.

Almost surely, 249788936 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 49788936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68127150).

49788936 is an abundant number, since it is smaller than the sum of its proper divisors (86465364).

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

49788936 is a wasteful number, since it uses less digits than its factorization.

49788936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7238 (or 7231 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The square root of 49788936 is about 7056.1275498676. The cubic root of 49788936 is about 367.8840411268.

The spelling of 49788936 in words is "forty-nine million, seven hundred eighty-eight thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 97 194 291 388 582 776 873 1164 1746 2328 3492 6984 7129 14258 21387 28516 42774 57032 64161 85548 128322 171096 256644 513288 691513 1383026 2074539 2766052 4149078 5532104 6223617 8298156 12447234 16596312 24894468 49788936