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81633942 = 232131672089
BaseRepresentation
bin1001101110110…
…10001010010110
312200121102201100
410313122022112
5131344241232
612033410530
72010606555
oct467321226
9180542640
1081633942
1142097875
1223409a46
1313bb3010
14abadd9c
157277c7c
hex4dda296

81633942 has 48 divisors (see below), whose sum is σ = 191711520. Its totient is φ = 24955776.

The previous prime is 81633901. The next prime is 81633953. The reversal of 81633942 is 24933618.

It is a junction number, because it is equal to n+sod(n) for n = 81633897 and 81633906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38034 + ... + 40122.

It is an arithmetic number, because the mean of its divisors is an integer number (3993990).

Almost surely, 281633942 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81633942, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95855760).

81633942 is an abundant number, since it is smaller than the sum of its proper divisors (110077578).

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

81633942 is a wasteful number, since it uses less digits than its factorization.

81633942 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2277 (or 2274 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 81633942 is about 9035.1503584611. The cubic root of 81633942 is about 433.8007076951.

The spelling of 81633942 in words is "eighty-one million, six hundred thirty-three thousand, nine hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 167 234 334 501 1002 1503 2089 2171 3006 4178 4342 6267 6513 12534 13026 18801 19539 27157 37602 39078 54314 81471 162942 244413 348863 488826 697726 1046589 2093178 3139767 4535219 6279534 9070438 13605657 27211314 40816971 81633942