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49914048 = 2632389127
BaseRepresentation
bin1011111001101…
…0000011000000
310110220220012110
42332122003000
5100234222143
64541455320
71144156002
oct276320300
9113826173
1049914048
11261a2188
1214871540
13a458252
1468b4372
1545ae533
hex2f9a0c0

49914048 has 112 divisors (see below), whose sum is σ = 140451840. Its totient is φ = 15611904.

The previous prime is 49914037. The next prime is 49914077. The reversal of 49914048 is 84041994.

It is a junction number, because it is equal to n+sod(n) for n = 49913997 and 49914015.

It is an unprimeable number.

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, 392961 + ... + 393087.

Almost surely, 249914048 is an apocalyptic number.

49914048 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 49914048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70225920).

49914048 is an abundant number, since it is smaller than the sum of its proper divisors (90537792).

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

49914048 is a wasteful number, since it uses less digits than its factorization.

49914048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 49914048 is about 7064.9874734496. The cubic root of 49914048 is about 368.1919288684.

The spelling of 49914048 in words is "forty-nine million, nine hundred fourteen thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 89 92 96 127 138 178 184 192 254 267 276 356 368 381 508 534 552 712 736 762 1016 1068 1104 1424 1472 1524 2032 2047 2136 2208 2848 2921 3048 4064 4094 4272 4416 5696 5842 6096 6141 8128 8188 8544 8763 11303 11684 12192 12282 16376 17088 17526 22606 23368 24384 24564 32752 33909 35052 45212 46736 49128 65504 67818 70104 90424 93472 98256 131008 135636 140208 180848 186944 196512 259969 271272 280416 361696 393024 519938 542544 560832 723392 779907 1039876 1085088 1559814 2079752 2170176 3119628 4159504 6239256 8319008 12478512 16638016 24957024 49914048