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2038944 = 25367317
BaseRepresentation
bin111110001110010100000
310211120220110
413301302200
51010221234
6111411320
723221305
oct7616240
93746813
102038944
111172986
12823b40
1356509b
143b10ac
152a41e9
hex1f1ca0

2038944 has 48 divisors (see below), whose sum is σ = 5449248. Its totient is φ = 667392.

The previous prime is 2038943. The next prime is 2038951. The reversal of 2038944 is 4498302.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (2038943) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6274 + ... + 6590.

It is an arithmetic number, because the mean of its divisors is an integer number (113526).

22038944 is an apocalyptic number.

2038944 is a gapful number since it is divisible by the number (24) 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 2038944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2724624).

2038944 is an abundant number, since it is smaller than the sum of its proper divisors (3410304).

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

2038944 is a wasteful number, since it uses less digits than its factorization.

2038944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 2038944 is about 1427.9159639138. The cubic root of 2038944 is about 126.8046265399.

The spelling of 2038944 in words is "two million, thirty-eight thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 67 96 134 201 268 317 402 536 634 804 951 1072 1268 1608 1902 2144 2536 3216 3804 5072 6432 7608 10144 15216 21239 30432 42478 63717 84956 127434 169912 254868 339824 509736 679648 1019472 2038944