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51998208 = 29397349
BaseRepresentation
bin1100011001011…
…0111000000000
310121211210010120
43012112320000
5101302420313
65054300240
71200656163
oct306267000
9117753116
1051998208
1127396029
12154b7680
13aa07a92
146c97ada
154871d23
hex3196e00

51998208 has 80 divisors (see below), whose sum is σ = 140355600. Its totient is φ = 17104896.

The previous prime is 51998203. The next prime is 51998227. The reversal of 51998208 is 80289915.

It is a happy number.

It is a super-2 number, since 2×519982082 = 5407627270422528, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 51998208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51998203) 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, 148818 + ... + 149166.

It is an arithmetic number, because the mean of its divisors is an integer number (1754445).

Almost surely, 251998208 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 51998208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70177800).

51998208 is an abundant number, since it is smaller than the sum of its proper divisors (88357392).

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

51998208 is an equidigital number, since it uses as much as digits as its factorization.

51998208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 42.

The square root of 51998208 is about 7210.9782970135. The cubic root of 51998208 is about 373.2468280299.

The spelling of 51998208 in words is "fifty-one million, nine hundred ninety-eight thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 97 128 192 194 256 291 349 384 388 512 582 698 768 776 1047 1164 1396 1536 1552 2094 2328 2792 3104 4188 4656 5584 6208 8376 9312 11168 12416 16752 18624 22336 24832 33504 33853 37248 44672 49664 67008 67706 74496 89344 101559 134016 135412 148992 178688 203118 268032 270824 406236 536064 541648 812472 1083296 1624944 2166592 3249888 4333184 6499776 8666368 12999552 17332736 25999104 51998208