Search a number
-
+
949370816 = 26236197109
BaseRepresentation
bin111000100101100…
…011111111000000
32110011102000221002
4320211203333000
53421014331231
6234112151132
732345342642
oct7045437700
92404360832
10949370816
11447993389
12225b384a8
131218c15a4
149012c892
15585300cb
hex38963fc0

949370816 has 112 divisors (see below), whose sum is σ = 2037161280. Its totient is φ = 437944320.

The previous prime is 949370801. The next prime is 949370819. The reversal of 949370816 is 618073949.

949370816 is digitally balanced in base 2, 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 (949370819) 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, 8709770 + ... + 8709878.

It is an arithmetic number, because the mean of its divisors is an integer number (18188940).

Almost surely, 2949370816 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 949370816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1018580640).

949370816 is an abundant number, since it is smaller than the sum of its proper divisors (1087790464).

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

949370816 is a wasteful number, since it uses less digits than its factorization.

949370816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 47.

The square root of 949370816 is about 30811.8616120480. The cubic root of 949370816 is about 982.8305007716.

The spelling of 949370816 in words is "nine hundred forty-nine million, three hundred seventy thousand, eight hundred sixteen".

Divisors: 1 2 4 8 16 23 32 46 61 64 92 97 109 122 184 194 218 244 368 388 436 488 736 776 872 976 1403 1472 1552 1744 1952 2231 2507 2806 3104 3488 3904 4462 5014 5612 5917 6208 6649 6976 8924 10028 10573 11224 11834 13298 17848 20056 21146 22448 23668 26596 35696 40112 42292 44896 47336 53192 71392 80224 84584 89792 94672 106384 136091 142784 152927 160448 169168 189344 212768 243179 272182 305854 338336 378688 425536 486358 544364 611708 644953 676672 972716 1088728 1223416 1289906 1945432 2177456 2446832 2579812 3890864 4354912 4893664 5159624 7781728 8709824 9787328 10319248 14833919 15563456 20638496 29667838 41276992 59335676 118671352 237342704 474685408 949370816