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82293056 = 2617431759
BaseRepresentation
bin1001110011110…
…11000101000000
312201211220211222
410321323011000
5132031334211
612055454212
72016323306
oct471730500
9181756758
1082293056
11424a7a9a
1223687368
1314084021
14ad02276
1573581db
hex4e7b140

82293056 has 56 divisors (see below), whose sum is σ = 177027840. Its totient is φ = 37804032.

The previous prime is 82293053. The next prime is 82293061. The reversal of 82293056 is 65039228.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82293053) 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, 45905 + ... + 47663.

Almost surely, 282293056 is an apocalyptic number.

82293056 is a gapful number since it is divisible by the number (86) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82293056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88513920).

82293056 is an abundant number, since it is smaller than the sum of its proper divisors (94734784).

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

82293056 is a wasteful number, since it uses less digits than its factorization.

82293056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1831 (or 1821 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 35.

The square root of 82293056 is about 9071.5520171578. The cubic root of 82293056 is about 434.9650846156.

The spelling of 82293056 in words is "eighty-two million, two hundred ninety-three thousand, fifty-six".

Divisors: 1 2 4 8 16 17 32 34 43 64 68 86 136 172 272 344 544 688 731 1088 1376 1462 1759 2752 2924 3518 5848 7036 11696 14072 23392 28144 29903 46784 56288 59806 75637 112576 119612 151274 239224 302548 478448 605096 956896 1210192 1285829 1913792 2420384 2571658 4840768 5143316 10286632 20573264 41146528 82293056