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202040256 = 26311271353
BaseRepresentation
bin11000000101011…
…10001111000000
3112002011201010110
430002232033000
5403210242011
632014231320
75002212435
oct1402561700
9462151113
10202040256
11a4056920
12577b5540
1332b1cb62
141cb93b8c
1512b0dba6
hexc0ae3c0

202040256 has 112 divisors (see below), whose sum is σ = 586971648. Its totient is φ = 60825600.

The previous prime is 202040231. The next prime is 202040287. The reversal of 202040256 is 652040202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 572176 + ... + 572528.

Almost surely, 2202040256 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 202040256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293485824).

202040256 is an abundant number, since it is smaller than the sum of its proper divisors (384931392).

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

202040256 is a wasteful number, since it uses less digits than its factorization.

202040256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 650 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 202040256 is about 14214.0865341393. The cubic root of 202040256 is about 586.7854052592.

Adding to 202040256 its reverse (652040202), we get a palindrome (854080458).

The spelling of 202040256 in words is "two hundred two million, forty thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 271 352 353 528 542 704 706 813 1056 1059 1084 1412 1626 2112 2118 2168 2824 2981 3252 3883 4236 4336 5648 5962 6504 7766 8472 8672 8943 11296 11649 11924 13008 15532 16944 17344 17886 22592 23298 23848 26016 31064 33888 35772 46596 47696 52032 62128 67776 71544 93192 95392 95663 124256 143088 186384 190784 191326 248512 286176 286989 372768 382652 572352 573978 745536 765304 1052293 1147956 1530608 2104586 2295912 3061216 3156879 4209172 4591824 6122432 6313758 8418344 9183648 12627516 16836688 18367296 25255032 33673376 50510064 67346752 101020128 202040256