Search a number
-
+
71054748 = 223243197233
BaseRepresentation
bin1000011110000…
…11010110011100
311221200221210100
410033003112130
5121142222443
611014541100
71521645462
oct417032634
9157627710
1071054748
1137121536
121b967790
131194a93b
149618832
1563883d3
hex43c359c

71054748 has 72 divisors (see below), whose sum is σ = 185513328. Its totient is φ = 22917888.

The previous prime is 71054729. The next prime is 71054749. The reversal of 71054748 is 84745017.

71054748 is a `hidden beast` number, since 71 + 0 + 547 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71054749) 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 23 ways as a sum of consecutive naturals, for example, 304840 + ... + 305072.

It is an arithmetic number, because the mean of its divisors is an integer number (2576574).

Almost surely, 271054748 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 71054748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92756664).

71054748 is an abundant number, since it is smaller than the sum of its proper divisors (114458580).

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

71054748 is a wasteful number, since it uses less digits than its factorization.

71054748 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The square root of 71054748 is about 8429.3978432626. The cubic root of 71054748 is about 414.1881802218.

The spelling of 71054748 in words is "seventy-one million, fifty-four thousand, seven hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 43 86 129 172 197 233 258 387 394 466 516 591 699 774 788 932 1182 1398 1548 1773 2097 2364 2796 3546 4194 7092 8388 8471 10019 16942 20038 25413 30057 33884 40076 45901 50826 60114 76239 90171 91802 101652 120228 137703 152478 180342 183604 275406 304956 360684 413109 550812 826218 1652436 1973743 3947486 5921229 7894972 11842458 17763687 23684916 35527374 71054748