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2049768 = 23327383
BaseRepresentation
bin111110100011011101000
310212010202100
413310123220
51011043033
6111533400
723265000
oct7643350
93763670
102049768
111180026
1282a260
13569ca6
143b5000
152a7513
hex1f46e8

2049768 has 96 divisors (see below), whose sum is σ = 6552000. Its totient is φ = 578592.

The previous prime is 2049727. The next prime is 2049787. The reversal of 2049768 is 8679402.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24655 + ... + 24737.

It is an arithmetic number, because the mean of its divisors is an integer number (68250).

22049768 is an apocalyptic number.

2049768 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 2049768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3276000).

2049768 is an abundant number, since it is smaller than the sum of its proper divisors (4502232).

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

2049768 is a wasteful number, since it uses less digits than its factorization.

2049768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 2049768 is about 1431.7010861210. The cubic root of 2049768 is about 127.0286169418.

The spelling of 2049768 in words is "two million, forty-nine thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 83 84 98 126 147 166 168 196 249 252 294 332 343 392 441 498 504 581 588 664 686 747 882 996 1029 1162 1176 1372 1494 1743 1764 1992 2058 2324 2744 2988 3087 3486 3528 4067 4116 4648 5229 5976 6174 6972 8134 8232 10458 12201 12348 13944 16268 20916 24402 24696 28469 32536 36603 41832 48804 56938 73206 85407 97608 113876 146412 170814 227752 256221 292824 341628 512442 683256 1024884 2049768