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49414144 = 2171329
BaseRepresentation
bin1011110010000…
…0000000000000
310102222111110111
42330200000000
5100122223034
64523041104
71140004363
oct274400000
9112874414
1049414144
112599063a
1214670194
13a311850
1467c40da
154511364
hex2f20000

49414144 has 72 divisors (see below), whose sum is σ = 110100060. Its totient is φ = 22020096.

The previous prime is 49414111. The next prime is 49414159. The reversal of 49414144 is 44141494.

It can be written as a sum of positive squares in 2 ways, for example, as 47775744 + 1638400 = 6912^2 + 1280^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1703922 + ... + 1703950.

Almost surely, 249414144 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 49414144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55050030).

49414144 is an abundant number, since it is smaller than the sum of its proper divisors (60685916).

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

49414144 is an frugal number, since it uses more digits than its factorization.

49414144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 44 counting only the distinct ones).

The product of its digits is 9216, while the sum is 31.

The square root of 49414144 is about 7029.5194714859. The cubic root of 49414144 is about 366.9586185328.

The spelling of 49414144 in words is "forty-nine million, four hundred fourteen thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 26 29 32 52 58 64 104 116 128 208 232 256 377 416 464 512 754 832 928 1024 1508 1664 1856 2048 3016 3328 3712 4096 6032 6656 7424 8192 12064 13312 14848 16384 24128 26624 29696 32768 48256 53248 59392 65536 96512 106496 118784 131072 193024 212992 237568 386048 425984 475136 772096 851968 950272 1544192 1703936 1900544 3088384 3801088 6176768 12353536 24707072 49414144