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33141096 = 2333712161
BaseRepresentation
bin111111001101…
…1000101101000
32022100202001000
41332123011220
531441003341
63142155000
7551460162
oct176330550
968322030
1033141096
111778643a
12b122a60
136b34921
144589932
152d998b6
hex1f9b168

33141096 has 64 divisors (see below), whose sum is σ = 93398400. Its totient is φ = 10886400.

The previous prime is 33141083. The next prime is 33141107. The reversal of 33141096 is 69014133.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14256 + ... + 16416.

It is an arithmetic number, because the mean of its divisors is an integer number (1459350).

Almost surely, 233141096 is an apocalyptic number.

33141096 is a gapful number since it is divisible by the number (36) 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 33141096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46699200).

33141096 is an abundant number, since it is smaller than the sum of its proper divisors (60257304).

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

33141096 is a wasteful number, since it uses less digits than its factorization.

33141096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2247 (or 2237 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 33141096 is about 5756.8303779076. The cubic root of 33141096 is about 321.2099246996.

The spelling of 33141096 in words is "thirty-three million, one hundred forty-one thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 71 72 108 142 213 216 284 426 568 639 852 1278 1704 1917 2161 2556 3834 4322 5112 6483 7668 8644 12966 15336 17288 19449 25932 38898 51864 58347 77796 116694 153431 155592 233388 306862 460293 466776 613724 920586 1227448 1380879 1841172 2761758 3682344 4142637 5523516 8285274 11047032 16570548 33141096