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5438208 = 2837397
BaseRepresentation
bin10100101111101100000000
3101020021211010
4110233230000
52343010313
6312320520
764136556
oct24575400
911207733
105438208
113084896
1219a3140
131185399
14a17bd6
157264c3
hex52fb00

5438208 has 72 divisors (see below), whose sum is σ = 14823088. Its totient is φ = 1769472.

The previous prime is 5438183. The next prime is 5438219. The reversal of 5438208 is 8028345.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56016 + ... + 56112.

Almost surely, 25438208 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 5438208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7411544).

5438208 is an abundant number, since it is smaller than the sum of its proper divisors (9384880).

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

5438208 is an equidigital number, since it uses as much as digits as its factorization.

5438208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 5438208 is about 2331.9965694657. The cubic root of 5438208 is about 175.8538731998.

The spelling of 5438208 in words is "five million, four hundred thirty-eight thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 73 96 97 128 146 192 194 219 256 291 292 384 388 438 582 584 768 776 876 1164 1168 1552 1752 2328 2336 3104 3504 4656 4672 6208 7008 7081 9312 9344 12416 14016 14162 18624 18688 21243 24832 28032 28324 37248 42486 56064 56648 74496 84972 113296 169944 226592 339888 453184 679776 906368 1359552 1812736 2719104 5438208