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32642082 = 23311179307
BaseRepresentation
bin111110010000…
…1010000100010
32021102101112000
41330201100202
531324021312
63123344430
7544311264
oct174412042
967371460
1032642082
1117475530
12ab22116
1369bb755
144499b34
152cebadc
hex1f21422

32642082 has 64 divisors (see below), whose sum is σ = 79833600. Its totient is φ = 9804240.

The previous prime is 32642063. The next prime is 32642087. The reversal of 32642082 is 28024623.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (32642087) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 106173 + ... + 106479.

It is an arithmetic number, because the mean of its divisors is an integer number (1247400).

Almost surely, 232642082 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32642082, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39916800).

32642082 is an abundant number, since it is smaller than the sum of its proper divisors (47191518).

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

32642082 is a wasteful number, since it uses less digits than its factorization.

32642082 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 32642082 is about 5713.3249513746. The cubic root of 32642082 is about 319.5895845244.

The spelling of 32642082 in words is "thirty-two million, six hundred forty-two thousand, eighty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 179 198 297 307 358 537 594 614 921 1074 1611 1842 1969 2763 3222 3377 3938 4833 5526 5907 6754 8289 9666 10131 11814 16578 17721 20262 30393 35442 53163 54953 60786 91179 106326 109906 164859 182358 329718 494577 604483 989154 1208966 1483731 1813449 2967462 3626898 5440347 10880694 16321041 32642082