Search a number
-
+
71274528 = 25321319037
BaseRepresentation
bin1000011111110…
…01000000100000
311222010010021100
410033321000200
5121221241103
611023354400
71523552313
oct417710040
9158103240
1071274528
1137261676
121ba52a00
13119c69a0
14967497a
1563cd5a3
hex43f9020

71274528 has 72 divisors (see below), whose sum is σ = 218289708. Its totient is φ = 21929472.

The previous prime is 71274527. The next prime is 71274551. The reversal of 71274528 is 82547217.

71274528 is a `hidden beast` number, since 7 + 127 + 4 + 528 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 51667344 + 19607184 = 7188^2 + 4428^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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 = 71274492 and 71274501.

It is not an unprimeable number, because it can be changed into a prime (71274527) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5775 + ... + 13262.

Almost surely, 271274528 is an apocalyptic number.

71274528 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

71274528 is an abundant number, since it is smaller than the sum of its proper divisors (147015180).

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

71274528 is a wasteful number, since it uses less digits than its factorization.

71274528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19066 (or 19055 counting only the distinct ones).

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

The square root of 71274528 is about 8442.4242963736. The cubic root of 71274528 is about 414.6147835864.

The spelling of 71274528 in words is "seventy-one million, two hundred seventy-four thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1248 1872 3744 19037 38074 57111 76148 114222 152296 171333 228444 247481 304592 342666 456888 494962 609184 685332 742443 913776 989924 1370664 1484886 1827552 1979848 2227329 2741328 2969772 3959696 4454658 5482656 5939544 7919392 8909316 11879088 17818632 23758176 35637264 71274528