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71069952 = 283293191
BaseRepresentation
bin1000011110001…
…11000100000000
311221201201122110
410033013010000
5121143214302
611015135320
71522041012
oct417070400
9157651573
1071069952
11371319a8
121b974540
1311954835
1496201b2
15638cb6c
hex43c7100

71069952 has 72 divisors (see below), whose sum is σ = 195733440. Its totient is φ = 22865920.

The previous prime is 71069951. The next prime is 71069993. The reversal of 71069952 is 25996017.

It is a self number, because there is not a number n which added to its sum of digits gives 71069952.

It is not an unprimeable number, because it can be changed into a prime (71069951) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20677 + ... + 23867.

It is an arithmetic number, because the mean of its divisors is an integer number (2718520).

Almost surely, 271069952 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 71069952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97866720).

71069952 is an abundant number, since it is smaller than the sum of its proper divisors (124663488).

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

71069952 is a wasteful number, since it uses less digits than its factorization.

71069952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3239 (or 3225 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 39.

The square root of 71069952 is about 8430.2996388029. The cubic root of 71069952 is about 414.2177202041.

The spelling of 71069952 in words is "seventy-one million, sixty-nine thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 128 174 192 232 256 348 384 464 696 768 928 1392 1856 2784 3191 3712 5568 6382 7424 9573 11136 12764 19146 22272 25528 38292 51056 76584 92539 102112 153168 185078 204224 277617 306336 370156 408448 555234 612672 740312 816896 1110468 1225344 1480624 2220936 2450688 2961248 4441872 5922496 8883744 11844992 17767488 23689984 35534976 71069952