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2078208 = 29321141
BaseRepresentation
bin111111011011000000000
310220120202200
413323120000
51013000313
6112313200
723443626
oct7733000
93816680
102078208
11119a430
12842800
13579c12
143c1516
152b0b73
hex1fb600

2078208 has 120 divisors (see below), whose sum is σ = 6702696. Its totient is φ = 614400.

The previous prime is 2078207. The next prime is 2078221. The reversal of 2078208 is 8028702.

It is a nialpdrome in base 8.

It is a zygodrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2078207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50668 + ... + 50708.

22078208 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 2078208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3351348).

2078208 is an abundant number, since it is smaller than the sum of its proper divisors (4624488).

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

2078208 is a wasteful number, since it uses less digits than its factorization.

2078208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 2078208 is about 1441.5991120974. The cubic root of 2078208 is about 127.6134169584.

The spelling of 2078208 in words is "two million, seventy-eight thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 41 44 48 64 66 72 82 88 96 99 123 128 132 144 164 176 192 198 246 256 264 288 328 352 369 384 396 451 492 512 528 576 656 704 738 768 792 902 984 1056 1152 1312 1353 1408 1476 1536 1584 1804 1968 2112 2304 2624 2706 2816 2952 3168 3608 3936 4059 4224 4608 5248 5412 5632 5904 6336 7216 7872 8118 8448 10496 10824 11808 12672 14432 15744 16236 16896 20992 21648 23616 25344 28864 31488 32472 43296 47232 50688 57728 62976 64944 86592 94464 115456 129888 173184 188928 230912 259776 346368 519552 692736 1039104 2078208