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33482982 = 23134367149
BaseRepresentation
bin111111110111…
…0100011100110
32100000010000110
41333232203212
532032423412
63153353450
7554413011
oct177564346
970003013
1033482982
111799a295
12b268886
136c24420
144638378
152e15d3c
hex1fee8e6

33482982 has 64 divisors (see below), whose sum is σ = 75398400. Its totient is φ = 9846144.

The previous prime is 33482927. The next prime is 33482987. The reversal of 33482982 is 28928433.

It is a super-2 number, since 2×334829822 = 2242220167224648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 33482982.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33482987) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 224644 + ... + 224792.

It is an arithmetic number, because the mean of its divisors is an integer number (1178100).

Almost surely, 233482982 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33482982, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37699200).

33482982 is an abundant number, since it is smaller than the sum of its proper divisors (41915418).

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

33482982 is a wasteful number, since it uses less digits than its factorization.

33482982 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277.

The product of its digits is 82944, while the sum is 39.

The square root of 33482982 is about 5786.4481333543. The cubic root of 33482982 is about 322.3106899288.

The spelling of 33482982 in words is "thirty-three million, four hundred eighty-two thousand, nine hundred eighty-two".

Divisors: 1 2 3 6 13 26 39 43 67 78 86 129 134 149 201 258 298 402 447 559 871 894 1118 1677 1742 1937 2613 2881 3354 3874 5226 5762 5811 6407 8643 9983 11622 12814 17286 19221 19966 29949 37453 38442 59898 74906 83291 112359 129779 166582 224718 249873 259558 389337 429269 499746 778674 858538 1287807 2575614 5580497 11160994 16741491 33482982