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204848072 = 231113241743
BaseRepresentation
bin11000011010110…
…11101111001000
3112021110100201122
430031123233020
5404420114242
632154334412
75035115462
oct1415335710
9467410648
10204848072
11a56a4430
125872a408
1333593ba0
141d2c5132
1512eb5ad2
hexc35bbc8

204848072 has 64 divisors (see below), whose sum is σ = 453720960. Its totient is φ = 85478400.

The previous prime is 204848071. The next prime is 204848081. The reversal of 204848072 is 270848402.

It is not an unprimeable number, because it can be changed into a prime (204848071) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 275333 + ... + 276075.

It is an arithmetic number, because the mean of its divisors is an integer number (7089390).

Almost surely, 2204848072 is an apocalyptic number.

204848072 is a gapful number since it is divisible by the number (22) 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 204848072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226860480).

204848072 is an abundant number, since it is smaller than the sum of its proper divisors (248872888).

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

204848072 is a wasteful number, since it uses less digits than its factorization.

204848072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1014 (or 1010 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 35.

The square root of 204848072 is about 14312.5145240101. The cubic root of 204848072 is about 589.4911556438.

The spelling of 204848072 in words is "two hundred four million, eight hundred forty-eight thousand, seventy-two".

Divisors: 1 2 4 8 11 13 22 26 44 52 88 104 143 241 286 482 572 743 964 1144 1486 1928 2651 2972 3133 5302 5944 6266 8173 9659 10604 12532 16346 19318 21208 25064 32692 34463 38636 65384 68926 77272 106249 137852 179063 212498 275704 358126 424996 716252 849992 1432504 1969693 2327819 3939386 4655638 7878772 9311276 15757544 18622552 25606009 51212018 102424036 204848072