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6138944 = 26771193
BaseRepresentation
bin10111011010110001000000
3102112220001022
4113122301000
53032421234
6335325012
7103115540
oct27326100
912486038
106138944
113513309
122080768
13136c316
14b5b320
15813e2e
hex5dac40

6138944 has 56 divisors (see below), whose sum is σ = 14191488. Its totient is φ = 2580480.

The previous prime is 6138901. The next prime is 6138947. The reversal of 6138944 is 4498316.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6138947) 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, 31712 + ... + 31904.

Almost surely, 26138944 is an apocalyptic number.

6138944 is a gapful number since it is divisible by the number (64) 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 6138944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7095744).

6138944 is an abundant number, since it is smaller than the sum of its proper divisors (8052544).

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

6138944 is a wasteful number, since it uses less digits than its factorization.

6138944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 273 counting only the distinct ones).

The product of its digits is 20736, while the sum is 35.

The square root of 6138944 is about 2477.6892460517. The cubic root of 6138944 is about 183.1040247849.

The spelling of 6138944 in words is "six million, one hundred thirty-eight thousand, nine hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 71 112 142 193 224 284 386 448 497 568 772 994 1136 1351 1544 1988 2272 2702 3088 3976 4544 5404 6176 7952 10808 12352 13703 15904 21616 27406 31808 43232 54812 86464 95921 109624 191842 219248 383684 438496 767368 876992 1534736 3069472 6138944