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49454288 = 2413733257
BaseRepresentation
bin1011110010100…
…1110011010000
310110001112112022
42330221303100
5100130014123
64523551012
71140232412
oct274516320
9113045468
1049454288
1125a08814
121468b468
13a326bc0
1467d49b2
15451d1c8
hex2f29cd0

49454288 has 40 divisors (see below), whose sum is σ = 104633928. Its totient is φ = 22505472.

The previous prime is 49454267. The next prime is 49454291. The reversal of 49454288 is 88245494.

49454288 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 4 ways, for example, as 8596624 + 40857664 = 2932^2 + 6392^2 .

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 7 ways as a sum of consecutive naturals, for example, 13556 + ... + 16812.

Almost surely, 249454288 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 49454288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52316964).

49454288 is an abundant number, since it is smaller than the sum of its proper divisors (55179640).

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

49454288 is a wasteful number, since it uses less digits than its factorization.

49454288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3351 (or 3345 counting only the distinct ones).

The product of its digits is 368640, while the sum is 44.

The square root of 49454288 is about 7032.3742790042. The cubic root of 49454288 is about 367.0579639036.

The spelling of 49454288 in words is "forty-nine million, four hundred fifty-four thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 13 16 26 52 73 104 146 208 292 584 949 1168 1898 3257 3796 6514 7592 13028 15184 26056 42341 52112 84682 169364 237761 338728 475522 677456 951044 1902088 3090893 3804176 6181786 12363572 24727144 49454288