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71534848 = 2871119191
BaseRepresentation
bin1000100001110…
…00100100000000
311222121100100211
410100320210000
5121303103343
611033123504
71526015260
oct420704400
9158540324
1071534848
113741a210
121bb59594
1311a88318
1497017a0
15643079d
hex4438900

71534848 has 144 divisors (see below), whose sum is σ = 188375040. Its totient is φ = 26265600.

The previous prime is 71534833. The next prime is 71534917. The reversal of 71534848 is 84843517.

It is a self number, because there is not a number n which added to its sum of digits gives 71534848.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 374433 + ... + 374623.

It is an arithmetic number, because the mean of its divisors is an integer number (1308160).

Almost surely, 271534848 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 71534848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94187520).

71534848 is an abundant number, since it is smaller than the sum of its proper divisors (116840192).

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

71534848 is a wasteful number, since it uses less digits than its factorization.

71534848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 230 counting only the distinct ones).

The product of its digits is 107520, while the sum is 40.

The square root of 71534848 is about 8457.8276170657. The cubic root of 71534848 is about 415.1189439870.

The spelling of 71534848 in words is "seventy-one million, five hundred thirty-four thousand, eight hundred forty-eight".

Divisors: 1 2 4 7 8 11 14 16 19 22 28 32 38 44 56 64 76 77 88 112 128 133 152 154 176 191 209 224 256 266 304 308 352 382 418 448 532 608 616 704 764 836 896 1064 1216 1232 1337 1408 1463 1528 1672 1792 2101 2128 2432 2464 2674 2816 2926 3056 3344 3629 4202 4256 4864 4928 5348 5852 6112 6688 7258 8404 8512 9856 10696 11704 12224 13376 14516 14707 16808 17024 19712 21392 23408 24448 25403 26752 29032 29414 33616 34048 39919 42784 46816 48896 50806 53504 58064 58828 67232 79838 85568 93632 101612 116128 117656 134464 159676 171136 187264 203224 232256 235312 268928 279433 319352 342272 374528 406448 464512 470624 537856 558866 638704 812896 929024 941248 1117732 1277408 1625792 1882496 2235464 2554816 3251584 3764992 4470928 5109632 6503168 8941856 10219264 17883712 35767424 71534848