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71930752 = 272353461
BaseRepresentation
bin1000100100110…
…01001110000000
312000100110102221
410102121032000
5121403241002
611045420424
71532254435
oct422311600
9160313387
1071930752
113766a703
122010a714
1311b9659a
1497a5b8c
1564acc37
hex4499380

71930752 has 64 divisors (see below), whose sum is σ = 152681760. Its totient is φ = 33679360.

The previous prime is 71930737. The next prime is 71930753. The reversal of 71930752 is 25703917.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71930753) 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, 155802 + ... + 156262.

Almost surely, 271930752 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 71930752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76340880).

71930752 is an abundant number, since it is smaller than the sum of its proper divisors (80751008).

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

71930752 is a wasteful number, since it uses less digits than its factorization.

71930752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 13230, while the sum is 34.

The square root of 71930752 is about 8481.1999151064. The cubic root of 71930752 is about 415.8833499364.

The spelling of 71930752 in words is "seventy-one million, nine hundred thirty thousand, seven hundred fifty-two".

Divisors: 1 2 4 8 16 23 32 46 53 64 92 106 128 184 212 368 424 461 736 848 922 1219 1472 1696 1844 2438 2944 3392 3688 4876 6784 7376 9752 10603 14752 19504 21206 24433 29504 39008 42412 48866 59008 78016 84824 97732 156032 169648 195464 339296 390928 561959 678592 781856 1123918 1357184 1563712 2247836 3127424 4495672 8991344 17982688 35965376 71930752