Search a number
-
+
207190848 = 26329127293
BaseRepresentation
bin11000101100101…
…11101101000000
3112102212101102010
430112113231000
5411020101343
632320452520
75064043644
oct1426275500
9472771363
10207190848
11a6a54607
125947a140
1333c04347
141d734c24
15132c9d33
hexc597b40

207190848 has 112 divisors (see below), whose sum is σ = 573511680. Its totient is φ = 65931264.

The previous prime is 207190847. The next prime is 207190853. The reversal of 207190848 is 848091702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (207190847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 706990 + ... + 707282.

It is an arithmetic number, because the mean of its divisors is an integer number (5120640).

Almost surely, 2207190848 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 207190848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286755840).

207190848 is an abundant number, since it is smaller than the sum of its proper divisors (366320832).

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

207190848 is a wasteful number, since it uses less digits than its factorization.

207190848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 39.

The square root of 207190848 is about 14394.1254683986. The cubic root of 207190848 is about 591.7299108837.

The spelling of 207190848 in words is "two hundred seven million, one hundred ninety thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 127 174 192 232 254 293 348 381 464 508 586 696 762 879 928 1016 1172 1392 1524 1758 1856 2032 2344 2784 3048 3516 3683 4064 4688 5568 6096 7032 7366 8128 8497 9376 11049 12192 14064 14732 16994 18752 22098 24384 25491 28128 29464 33988 37211 44196 50982 56256 58928 67976 74422 88392 101964 111633 117856 135952 148844 176784 203928 223266 235712 271904 297688 353568 407856 446532 543808 595376 707136 815712 893064 1079119 1190752 1631424 1786128 2158238 2381504 3237357 3572256 4316476 6474714 7144512 8632952 12949428 17265904 25898856 34531808 51797712 69063616 103595424 207190848