Search a number
-
+
71275152 = 24313176719
BaseRepresentation
bin1000011111110…
…01001010010000
311222010011010110
410033321022100
5121221301102
611023401320
71523554164
oct417711220
9158104113
1071275152
1137262093
121ba53240
13119c7060
149674ca4
1563cd86c
hex43f9290

71275152 has 80 divisors (see below), whose sum is σ = 209986560. Its totient is φ = 20637696.

The previous prime is 71275133. The next prime is 71275159. The reversal of 71275152 is 25157217.

It is not an unprimeable number, because it can be changed into a prime (71275159) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7249 + ... + 13967.

It is an arithmetic number, because the mean of its divisors is an integer number (2624832).

Almost surely, 271275152 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 71275152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104993280).

71275152 is an abundant number, since it is smaller than the sum of its proper divisors (138711408).

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

71275152 is a wasteful number, since it uses less digits than its factorization.

71275152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6760 (or 6754 counting only the distinct ones).

The product of its digits is 4900, while the sum is 30.

The square root of 71275152 is about 8442.4612525021. The cubic root of 71275152 is about 414.6159935506.

The spelling of 71275152 in words is "seventy-one million, two hundred seventy-five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 34 39 48 51 52 68 78 102 104 136 156 204 208 221 272 312 408 442 624 663 816 884 1326 1768 2652 3536 5304 6719 10608 13438 20157 26876 40314 53752 80628 87347 107504 114223 161256 174694 228446 262041 322512 342669 349388 456892 524082 685338 698776 913784 1048164 1370676 1397552 1484899 1827568 2096328 2741352 2969798 4192656 4454697 5482704 5939596 8909394 11879192 17818788 23758384 35637576 71275152