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49818048 = 2637101367
BaseRepresentation
bin1011111000001…
…0100111000000
310110202000111220
42332002213000
5100223134143
64535435040
71143306060
oct276024700
9113660456
1049818048
1126137045
1214825a80
13a423647
14688b3a0
154590d83
hex2f829c0

49818048 has 112 divisors (see below), whose sum is σ = 152546304. Its totient is φ = 14054400.

The previous prime is 49817987. The next prime is 49818049. The reversal of 49818048 is 84081894.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49818049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 135561 + ... + 135927.

Almost surely, 249818048 is an apocalyptic number.

49818048 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 49818048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76273152).

49818048 is an abundant number, since it is smaller than the sum of its proper divisors (102728256).

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

49818048 is a wasteful number, since it uses less digits than its factorization.

49818048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 42.

The square root of 49818048 is about 7058.1901362885. The cubic root of 49818048 is about 367.9557287638.

The spelling of 49818048 in words is "forty-nine million, eight hundred eighteen thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 101 112 168 192 202 224 303 336 367 404 448 606 672 707 734 808 1101 1212 1344 1414 1468 1616 2121 2202 2424 2569 2828 2936 3232 4242 4404 4848 5138 5656 5872 6464 7707 8484 8808 9696 10276 11312 11744 15414 16968 17616 19392 20552 22624 23488 30828 33936 35232 37067 41104 45248 61656 67872 70464 74134 82208 111201 123312 135744 148268 164416 222402 246624 259469 296536 444804 493248 518938 593072 778407 889608 1037876 1186144 1556814 1779216 2075752 2372288 3113628 3558432 4151504 6227256 7116864 8303008 12454512 16606016 24909024 49818048