Search a number
-
+
747052144 = 24234167739
BaseRepresentation
bin101100100001110…
…001110001110000
31221001201011212221
4230201301301300
53012221132034
6202043530424
724340560406
oct5441616160
91831634787
10747052144
11353767373
1218a229a14
13bba04ab7
1471305476
15458b8bb4
hex2c871c70

747052144 has 80 divisors (see below), whose sum is σ = 1572399360. Its totient is φ = 342904320.

The previous prime is 747052129. The next prime is 747052147. The reversal of 747052144 is 441250747.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (747052147) 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, 1010527 + ... + 1011265.

It is an arithmetic number, because the mean of its divisors is an integer number (19654992).

Almost surely, 2747052144 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 747052144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (786199680).

747052144 is an abundant number, since it is smaller than the sum of its proper divisors (825347216).

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

747052144 is a wasteful number, since it uses less digits than its factorization.

747052144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 878 (or 872 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 34.

The square root of 747052144 is about 27332.2546453819. The cubic root of 747052144 is about 907.3683757020.

The spelling of 747052144 in words is "seven hundred forty-seven million, fifty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 23 41 46 67 82 92 134 164 184 268 328 368 536 656 739 943 1072 1478 1541 1886 2747 2956 3082 3772 5494 5912 6164 7544 10988 11824 12328 15088 16997 21976 24656 30299 33994 43952 49513 60598 63181 67988 99026 121196 126362 135976 198052 242392 252724 271952 396104 484784 505448 696877 792208 1010896 1138799 1393754 2030033 2277598 2787508 4060066 4555196 5575016 8120132 9110392 11150032 16240264 18220784 32480528 46690759 93381518 186763036 373526072 747052144