Search a number
-
+
49544448 = 283312081
BaseRepresentation
bin1011110011111…
…1110100000000
310110020010012120
42330333310000
5100140410243
64525524240
71141056312
oct274776400
9113203176
1049544448
1125a6a528
1214713680
13a358c55
1468197b2
154539c83
hex2f3fd00

49544448 has 72 divisors (see below), whose sum is σ = 136179456. Its totient is φ = 15974400.

The previous prime is 49544447. The next prime is 49544489. The reversal of 49544448 is 84444594.

It is a super-3 number, since 3×495444483 (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49544447) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22768 + ... + 24848.

Almost surely, 249544448 is an apocalyptic number.

49544448 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 49544448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68089728).

49544448 is an abundant number, since it is smaller than the sum of its proper divisors (86635008).

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

49544448 is a wasteful number, since it uses less digits than its factorization.

49544448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2131 (or 2117 counting only the distinct ones).

The product of its digits is 368640, while the sum is 42.

The square root of 49544448 is about 7038.7817127682. The cubic root of 49544448 is about 367.2808893333.

The spelling of 49544448 in words is "forty-nine million, five hundred forty-four thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 256 372 384 496 744 768 992 1488 1984 2081 2976 3968 4162 5952 6243 7936 8324 11904 12486 16648 23808 24972 33296 49944 64511 66592 99888 129022 133184 193533 199776 258044 266368 387066 399552 516088 532736 774132 799104 1032176 1548264 1598208 2064352 3096528 4128704 6193056 8257408 12386112 16514816 24772224 49544448