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82295232 = 26317191327
BaseRepresentation
bin1001110011110…
…11100111000000
312201212000211120
410321323213000
5132031421412
612055512240
72016332535
oct471734700
9181760746
1082295232
11424a9698
1223688680
1314085006
14ad02d8c
157358b8c
hex4e7b9c0

82295232 has 112 divisors (see below), whose sum is σ = 242864640. Its totient is φ = 24440832.

The previous prime is 82295197. The next prime is 82295237. The reversal of 82295232 is 23259228.

It is a junction number, because it is equal to n+sod(n) for n = 82295193 and 82295202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82295237) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61353 + ... + 62679.

Almost surely, 282295232 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 82295232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121432320).

82295232 is an abundant number, since it is smaller than the sum of its proper divisors (160569408).

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

82295232 is a wasteful number, since it uses less digits than its factorization.

82295232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1378 (or 1368 counting only the distinct ones).

The product of its digits is 17280, while the sum is 33.

The square root of 82295232 is about 9071.6719517408. The cubic root of 82295232 is about 434.9689183764.

The spelling of 82295232 in words is "eighty-two million, two hundred ninety-five thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 17 19 24 32 34 38 48 51 57 64 68 76 96 102 114 136 152 192 204 228 272 304 323 408 456 544 608 646 816 912 969 1088 1216 1292 1327 1632 1824 1938 2584 2654 3264 3648 3876 3981 5168 5308 7752 7962 10336 10616 15504 15924 20672 21232 22559 25213 31008 31848 42464 45118 50426 62016 63696 67677 75639 84928 90236 100852 127392 135354 151278 180472 201704 254784 270708 302556 360944 403408 428621 541416 605112 721888 806816 857242 1082832 1210224 1285863 1443776 1613632 1714484 2165664 2420448 2571726 3428968 4331328 4840896 5143452 6857936 10286904 13715872 20573808 27431744 41147616 82295232