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49890048 = 2831319263
BaseRepresentation
bin1011111001010…
…0001100000000
310110212200021120
42332110030000
5100232440143
64541152240
71144026015
oct276241400
9113780246
1049890048
112618614a
121485b680
13a44a350
1468a970c
1545a7383
hex2f94300

49890048 has 144 divisors (see below), whose sum is σ = 151092480. Its totient is φ = 14487552.

The previous prime is 49890037. The next prime is 49890073. The reversal of 49890048 is 84009894.

It is a junction number, because it is equal to n+sod(n) for n = 49889991 and 49890009.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 189565 + ... + 189827.

Almost surely, 249890048 is an apocalyptic number.

49890048 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 49890048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75546240).

49890048 is an abundant number, since it is smaller than the sum of its proper divisors (101202432).

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

49890048 is a wasteful number, since it uses less digits than its factorization.

49890048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 49890048 is about 7063.2887524155. The cubic root of 49890048 is about 368.1329072548.

The spelling of 49890048 in words is "forty-nine million, eight hundred ninety thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 32 38 39 48 52 57 64 76 78 96 104 114 128 152 156 192 208 228 247 256 263 304 312 384 416 456 494 526 608 624 741 768 789 832 912 988 1052 1216 1248 1482 1578 1664 1824 1976 2104 2432 2496 2964 3156 3328 3419 3648 3952 4208 4864 4992 4997 5928 6312 6838 7296 7904 8416 9984 9994 10257 11856 12624 13676 14592 14991 15808 16832 19988 20514 23712 25248 27352 29982 31616 33664 39976 41028 47424 50496 54704 59964 63232 64961 67328 79952 82056 94848 100992 109408 119928 129922 159904 164112 189696 194883 201984 218816 239856 259844 319808 328224 389766 437632 479712 519688 639616 656448 779532 875264 959424 1039376 1279232 1312896 1559064 1918848 2078752 2625792 3118128 3837696 4157504 6236256 8315008 12472512 16630016 24945024 49890048