Search a number
-
+
70773444 = 22327253757
BaseRepresentation
bin1000011011111…
…10101011000100
311221011122220200
410031332223010
5121104222234
611004530500
71516364400
oct415765304
9157148820
1070773444
1136a4a155
121b850a30
131187c8a1
149584100
15632ed99
hex437eac4

70773444 has 108 divisors (see below), whose sum is σ = 212314284. Its totient is φ = 19813248.

The previous prime is 70773433. The next prime is 70773449. The reversal of 70773444 is 44437707.

It can be written as a sum of positive squares in 2 ways, for example, as 47444544 + 23328900 = 6888^2 + 4830^2 .

It is a super-2 number, since 2×707734442 = 10017760751242272, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 70773399 and 70773408.

It is not an unprimeable number, because it can be changed into a prime (70773449) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 93114 + ... + 93870.

It is an arithmetic number, because the mean of its divisors is an integer number (1965873).

Almost surely, 270773444 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 70773444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106157142).

70773444 is an abundant number, since it is smaller than the sum of its proper divisors (141540840).

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

70773444 is a wasteful number, since it uses less digits than its factorization.

70773444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 834 (or 822 counting only the distinct ones).

The product of its (nonzero) digits is 65856, while the sum is 36.

The square root of 70773444 is about 8412.6954063487. The cubic root of 70773444 is about 413.6408703830.

It can be divided in two parts, 70773 and 444, that added together give a palindrome (71217).

The spelling of 70773444 in words is "seventy million, seven hundred seventy-three thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 53 63 84 98 106 126 147 159 196 212 252 294 318 371 441 477 588 636 742 757 882 954 1113 1484 1514 1764 1908 2226 2271 2597 3028 3339 4452 4542 5194 5299 6678 6813 7791 9084 10388 10598 13356 13626 15582 15897 21196 23373 27252 31164 31794 37093 40121 46746 47691 63588 74186 80242 93492 95382 111279 120363 148372 160484 190764 222558 240726 280847 333837 361089 445116 481452 561694 667674 722178 842541 1123388 1335348 1444356 1685082 1965929 2527623 3370164 3931858 5055246 5897787 7863716 10110492 11795574 17693361 23591148 35386722 70773444