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71909152 = 257893607
BaseRepresentation
bin1000100100100…
…11111100100000
312000022100210221
410102103330200
5121402043102
611045132424
71532134450
oct422237440
9160270727
1071909152
1137655457
12200ba114
1311b897c3
14979bd60
1564a6637
hex4493f20

71909152 has 48 divisors (see below), whose sum is σ = 163658880. Its totient is φ = 30463488.

The previous prime is 71909143. The next prime is 71909171. The reversal of 71909152 is 25190917.

It is a super-2 number, since 2×719091522 = 10341852282718208, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18133 + ... + 21739.

It is an arithmetic number, because the mean of its divisors is an integer number (3409560).

Almost surely, 271909152 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 71909152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81829440).

71909152 is an abundant number, since it is smaller than the sum of its proper divisors (91749728).

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

71909152 is a wasteful number, since it uses less digits than its factorization.

71909152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3713 (or 3705 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 34.

The square root of 71909152 is about 8479.9264147751. The cubic root of 71909152 is about 415.8417173966.

It can be divided in two parts, 7190915 and 2, that added together give a palindrome (7190917).

The spelling of 71909152 in words is "seventy-one million, nine hundred nine thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 89 112 178 224 356 623 712 1246 1424 2492 2848 3607 4984 7214 9968 14428 19936 25249 28856 50498 57712 100996 115424 201992 321023 403984 642046 807968 1284092 2247161 2568184 4494322 5136368 8988644 10272736 17977288 35954576 71909152