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2048046 = 2371121331
BaseRepresentation
bin111110100000000101110
310212001101120
413310000232
51011014141
6111521410
723256660
oct7640056
93761346
102048046
111179800
12829266
13569280
143b4530
152a6c66
hex1f402e

2048046 has 96 divisors (see below), whose sum is σ = 5720064. Its totient is φ = 475200.

The previous prime is 2048027. The next prime is 2048063. The reversal of 2048046 is 6408402.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 66051 + ... + 66081.

It is an arithmetic number, because the mean of its divisors is an integer number (59584).

22048046 is an apocalyptic number.

2048046 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2048046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2860032).

2048046 is an abundant number, since it is smaller than the sum of its proper divisors (3672018).

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

2048046 is a wasteful number, since it uses less digits than its factorization.

2048046 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 2048046 is about 1431.0995772482. The cubic root of 2048046 is about 126.9930349374.

The spelling of 2048046 in words is "two million, forty-eight thousand, forty-six".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 31 33 39 42 62 66 77 78 91 93 121 143 154 182 186 217 231 242 273 286 341 363 403 429 434 462 546 651 682 726 806 847 858 1001 1023 1209 1302 1573 1694 2002 2046 2387 2418 2541 2821 3003 3146 3751 4433 4719 4774 5082 5642 6006 7161 7502 8463 8866 9438 11011 11253 13299 14322 16926 22022 22506 26257 26598 31031 33033 48763 52514 62062 66066 78771 93093 97526 146289 157542 186186 292578 341341 682682 1024023 2048046