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208484052 = 22372331592
BaseRepresentation
bin11000110110100…
…11011011010100
3112112022002100120
430123103123110
5411332442202
632404311540
75111041140
oct1433233324
9475262316
10208484052
11a7758177
12599a25b0
1334267b5a
141d990220
15134830bc
hexc6d36d4

208484052 has 144 divisors (see below), whose sum is σ = 609165312. Its totient is φ = 54204480.

The previous prime is 208484047. The next prime is 208484053. The reversal of 208484052 is 250484802.

It is a happy number.

208484052 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (208484053) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3533599 + ... + 3533657.

Almost surely, 2208484052 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 208484052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304582656).

208484052 is an abundant number, since it is smaller than the sum of its proper divisors (400681260).

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

208484052 is a wasteful number, since it uses less digits than its factorization.

208484052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 33.

The square root of 208484052 is about 14438.9768335571. The cubic root of 208484052 is about 592.9584736791.

The spelling of 208484052 in words is "two hundred eight million, four hundred eighty-four thousand, fifty-two".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 31 42 46 59 62 69 84 92 93 118 124 138 161 177 186 217 236 276 322 354 372 413 434 483 644 651 708 713 826 868 966 1239 1302 1357 1426 1652 1829 1932 2139 2478 2604 2714 2852 3481 3658 4071 4278 4956 4991 5428 5487 6962 7316 8142 8556 9499 9982 10443 10974 12803 13924 14973 16284 18998 19964 20886 21948 24367 25606 28497 29946 37996 38409 41772 42067 48734 51212 56994 59892 73101 76818 80063 84134 97468 107911 113988 126201 146202 153636 160126 168268 215822 240189 252402 292404 294469 320252 323733 431644 480378 504804 560441 588938 647466 755377 883407 960756 1120882 1177876 1294932 1510754 1681323 1766814 2241764 2266131 2481953 3021508 3362646 3533628 4532262 4963906 6725292 7445859 9064524 9927812 14891718 17373671 29783436 34747342 52121013 69494684 104242026 208484052