Search a number
-
+
49030128 = 24327127383
BaseRepresentation
bin1011101100001…
…0001111110000
310102020222200200
42323002033300
5100022431003
64510515200
71133514660
oct273021760
9112228620
1049030128
1125749074
1214505b00
13a208b14
1467241a0
1544876a3
hex2ec23f0

49030128 has 120 divisors (see below), whose sum is σ = 158466048. Its totient is φ = 13862016.

The previous prime is 49030117. The next prime is 49030139. The reversal of 49030128 is 82103094.

49030128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (49030117) and next prime (49030139).

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 23 ways as a sum of consecutive naturals, for example, 127825 + ... + 128207.

Almost surely, 249030128 is an apocalyptic number.

49030128 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49030128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79233024).

49030128 is an abundant number, since it is smaller than the sum of its proper divisors (109435920).

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

49030128 is a wasteful number, since it uses less digits than its factorization.

49030128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531 (or 522 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 49030128 is about 7002.1516693085. The cubic root of 49030128 is about 366.0055539782.

The spelling of 49030128 in words is "forty-nine million, thirty thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 127 144 168 252 254 336 381 383 504 508 762 766 889 1008 1016 1143 1149 1524 1532 1778 2032 2286 2298 2667 2681 3048 3064 3447 3556 4572 4596 5334 5362 6096 6128 6894 7112 8001 8043 9144 9192 10668 10724 13788 14224 16002 16086 18288 18384 21336 21448 24129 27576 32004 32172 42672 42896 48258 48641 55152 64008 64344 96516 97282 128016 128688 145923 193032 194564 291846 340487 386064 389128 437769 583692 680974 778256 875538 1021461 1167384 1361948 1751076 2042922 2334768 2723896 3064383 3502152 4085844 5447792 6128766 7004304 8171688 12257532 16343376 24515064 49030128