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2050048 = 21171113
BaseRepresentation
bin111110100100000000000
310212011010201
413310200000
51011100143
6111534544
723265550
oct7644000
93764121
102050048
111180260
1282a454
1356a160
143b5160
152a764d
hex1f4800

2050048 has 96 divisors (see below), whose sum is σ = 5503680. Its totient is φ = 737280.

The previous prime is 2050033. The next prime is 2050057. The reversal of 2050048 is 8400502.

It is a happy number.

It is a nialpdrome in base 8.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 157690 + ... + 157702.

It is an arithmetic number, because the mean of its divisors is an integer number (57330).

22050048 is an apocalyptic number.

2050048 is a gapful number since it is divisible by the number (28) 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 2050048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2751840).

2050048 is an abundant number, since it is smaller than the sum of its proper divisors (3453632).

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

2050048 is a wasteful number, since it uses less digits than its factorization.

2050048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 2050048 is about 1431.7988685566. The cubic root of 2050048 is about 127.0344007498.

The spelling of 2050048 in words is "two million, fifty thousand, forty-eight".

Divisors: 1 2 4 7 8 11 13 14 16 22 26 28 32 44 52 56 64 77 88 91 104 112 128 143 154 176 182 208 224 256 286 308 352 364 416 448 512 572 616 704 728 832 896 1001 1024 1144 1232 1408 1456 1664 1792 2002 2048 2288 2464 2816 2912 3328 3584 4004 4576 4928 5632 5824 6656 7168 8008 9152 9856 11264 11648 13312 14336 16016 18304 19712 22528 23296 26624 32032 36608 39424 46592 64064 73216 78848 93184 128128 146432 157696 186368 256256 292864 512512 1025024 2050048