Search a number
-
+
526022272 = 27107193199
BaseRepresentation
bin11111010110100…
…111011010000000
31100122210200220101
4133112213122000
52034130203042
6124110252144
716015054426
oct3726473200
91318720811
10526022272
1124aa20356
121281b7054
1384c966a9
144dc0b116
15312a86b7
hex1f5a7680

526022272 has 64 divisors (see below), whose sum is σ = 1068552000. Its totient is φ = 257900544.

The previous prime is 526022257. The next prime is 526022281. The reversal of 526022272 is 272220625.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 526022272.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2643229 + ... + 2643427.

It is an arithmetic number, because the mean of its divisors is an integer number (16696125).

Almost surely, 2526022272 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 526022272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534276000).

526022272 is an abundant number, since it is smaller than the sum of its proper divisors (542529728).

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

526022272 is a wasteful number, since it uses less digits than its factorization.

526022272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 28.

The square root of 526022272 is about 22935.1754298937. The cubic root of 526022272 is about 807.2375908051.

Adding to 526022272 its reverse (272220625), we get a palindrome (798242897).

The spelling of 526022272 in words is "five hundred twenty-six million, twenty-two thousand, two hundred seventy-two".

Divisors: 1 2 4 8 16 32 64 107 128 193 199 214 386 398 428 772 796 856 1544 1592 1712 3088 3184 3424 6176 6368 6848 12352 12736 13696 20651 21293 24704 25472 38407 41302 42586 76814 82604 85172 153628 165208 170344 307256 330416 340688 614512 660832 681376 1229024 1321664 1362752 2458048 2643328 2725504 4109549 4916096 8219098 16438196 32876392 65752784 131505568 263011136 526022272