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538944 = 2637401
BaseRepresentation
bin10000011100101000000
31000101021220
42003211000
5114221234
615315040
74403160
oct2034500
91011256
10538944
11338a0a
1221ba80
1315b403
141005a0
15a9a49
hex83940

538944 has 56 divisors (see below), whose sum is σ = 1633728. Its totient is φ = 153600.

The previous prime is 538943. The next prime is 538987. The reversal of 538944 is 449835.

538944 = T20 + T21 + ... + T147.

It is a tau number, because it is divible by the number of its divisors (56).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (538943) 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, 1144 + ... + 1544.

2538944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 538944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (816864).

538944 is an abundant number, since it is smaller than the sum of its proper divisors (1094784).

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

538944 is a wasteful number, since it uses less digits than its factorization.

538944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423 (or 413 counting only the distinct ones).

The product of its digits is 17280, while the sum is 33.

The square root of 538944 is about 734.1280542249. The cubic root of 538944 is about 81.3794119141.

The spelling of 538944 in words is "five hundred thirty-eight thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 401 448 672 802 1203 1344 1604 2406 2807 3208 4812 5614 6416 8421 9624 11228 12832 16842 19248 22456 25664 33684 38496 44912 67368 76992 89824 134736 179648 269472 538944