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71709248 = 2613791091
BaseRepresentation
bin1000100011000…
…11001001000000
311222221012121002
410101203021000
5121324143443
611040551132
71530342602
oct421431100
9158835532
1071709248
1137529246
12200224a8
1311b19810
149749172
1564672b8
hex4463240

71709248 has 56 divisors (see below), whose sum is σ = 155326080. Its totient is φ = 32647680.

The previous prime is 71709227. The next prime is 71709277. The reversal of 71709248 is 84290717.

It is a super-3 number, since 3×717092483 (a number of 25 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 65183 + ... + 66273.

It is an arithmetic number, because the mean of its divisors is an integer number (2773680).

Almost surely, 271709248 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 71709248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77663040).

71709248 is an abundant number, since it is smaller than the sum of its proper divisors (83616832).

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

71709248 is a wasteful number, since it uses less digits than its factorization.

71709248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1195 (or 1185 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 38.

The square root of 71709248 is about 8468.1313168845. The cubic root of 71709248 is about 415.4560197463.

The spelling of 71709248 in words is "seventy-one million, seven hundred nine thousand, two hundred forty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 79 104 158 208 316 416 632 832 1027 1091 1264 2054 2182 2528 4108 4364 5056 8216 8728 14183 16432 17456 28366 32864 34912 56732 65728 69824 86189 113464 172378 226928 344756 453856 689512 907712 1120457 1379024 2240914 2758048 4481828 5516096 8963656 17927312 35854624 71709248