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71248896 = 21034859
BaseRepresentation
bin1000011111100…
…10110000000000
311222001211010000
410033302300000
5121214431041
611023040000
71523414505
oct417626000
9158054100
1071248896
1137244394
121ba40000
13119b8114
1496694ac
1563c5bb6
hex43f2c00

71248896 has 110 divisors (see below), whose sum is σ = 213010820. Its totient is φ = 23721984.

The previous prime is 71248889. The next prime is 71248909. The reversal of 71248896 is 69884217.

Its product of digits (193536) is a multiple of the sum of its prime divisors (864).

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 82515 + ... + 83373.

It is an arithmetic number, because the mean of its divisors is an integer number (1936462).

Almost surely, 271248896 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 71248896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106505410).

71248896 is an abundant number, since it is smaller than the sum of its proper divisors (141761924).

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

71248896 is an equidigital number, since it uses as much as digits as its factorization.

71248896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 891 (or 864 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The square root of 71248896 is about 8440.9061124976. The cubic root of 71248896 is about 414.5650758781.

The spelling of 71248896 in words is "seventy-one million, two hundred forty-eight thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 512 576 648 768 859 864 1024 1152 1296 1536 1718 1728 2304 2577 2592 3072 3436 3456 4608 5154 5184 6872 6912 7731 9216 10308 10368 13744 13824 15462 20616 20736 23193 27488 27648 30924 41232 41472 46386 54976 61848 69579 82464 82944 92772 109952 123696 139158 164928 185544 219904 247392 278316 329856 371088 439808 494784 556632 659712 742176 879616 989568 1113264 1319424 1484352 1979136 2226528 2638848 2968704 3958272 4453056 5937408 7916544 8906112 11874816 17812224 23749632 35624448 71248896