Search a number
-
+
748000116 = 22333127207
BaseRepresentation
bin101100100101011…
…001001101110100
31221010111100021000
4230211121031310
53012442000431
6202120123300
724351616233
oct5445311564
91833440230
10748000116
11354254616
1218a606530
13bbc77426
14714b0b1a
1545a049e6
hex2c959374

748000116 has 72 divisors (see below), whose sum is σ = 2004112320. Its totient is φ = 241256880.

The previous prime is 748000109. The next prime is 748000157. The reversal of 748000116 is 611000847.

It is a happy number.

748000116 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 748000116.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 100185 + ... + 107391.

Almost surely, 2748000116 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 748000116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1002056160).

748000116 is an abundant number, since it is smaller than the sum of its proper divisors (1256112204).

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

748000116 is a wasteful number, since it uses less digits than its factorization.

748000116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7282 (or 7243 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 748000116 is about 27349.5907830446. The cubic root of 748000116 is about 907.7520152483.

The spelling of 748000116 in words is "seven hundred forty-eight million, one hundred sixteen", and thus it is an aban number.

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 93 108 124 186 279 372 558 837 961 1116 1674 1922 2883 3348 3844 5766 7207 8649 11532 14414 17298 21621 25947 28828 34596 43242 51894 64863 86484 103788 129726 194589 223417 259452 389178 446834 670251 778356 893668 1340502 2010753 2681004 4021506 6032259 6925927 8043012 12064518 13851854 20777781 24129036 27703708 41555562 62333343 83111124 124666686 187000029 249333372 374000058 748000116