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71151392 = 25131710061
BaseRepresentation
bin1000011110110…
…10111100100000
311221212212100202
410033122330200
5121203321032
611021004332
71522530314
oct417327440
9157785322
1071151392
1137188104
121b9b36a8
1311982920
149641b44
1563a6d62
hex43daf20

71151392 has 48 divisors (see below), whose sum is σ = 159744312. Its totient is φ = 30904320.

The previous prime is 71151389. The next prime is 71151403. The reversal of 71151392 is 29315117.

It can be written as a sum of positive squares in 4 ways, for example, as 60155536 + 10995856 = 7756^2 + 3316^2 .

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 2042 + ... + 12102.

Almost surely, 271151392 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 71151392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79872156).

71151392 is an abundant number, since it is smaller than the sum of its proper divisors (88592920).

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

71151392 is a wasteful number, since it uses less digits than its factorization.

71151392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10101 (or 10093 counting only the distinct ones).

The product of its digits is 1890, while the sum is 29.

The square root of 71151392 is about 8435.1284518969. The cubic root of 71151392 is about 414.3758789993.

The spelling of 71151392 in words is "seventy-one million, one hundred fifty-one thousand, three hundred ninety-two".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 68 104 136 208 221 272 416 442 544 884 1768 3536 7072 10061 20122 40244 80488 130793 160976 171037 261586 321952 342074 523172 684148 1046344 1368296 2092688 2223481 2736592 4185376 4446962 5473184 8893924 17787848 35575696 71151392