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33094152 = 23327135051
BaseRepresentation
bin111111000111…
…1101000001000
32022021100122100
41332033220020
531433003102
63141153400
7551203260
oct176175010
968240570
1033094152
1117754143
12b0bb860
136b19450
1445767a0
152d8aa1c
hex1f8fa08

33094152 has 96 divisors (see below), whose sum is σ = 110335680. Its totient is φ = 8726400.

The previous prime is 33094141. The next prime is 33094153. The reversal of 33094152 is 25149033.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (33094153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4027 + ... + 9077.

It is an arithmetic number, because the mean of its divisors is an integer number (1149330).

Almost surely, 233094152 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 33094152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55167840).

33094152 is an abundant number, since it is smaller than the sum of its proper divisors (77241528).

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

33094152 is a wasteful number, since it uses less digits than its factorization.

33094152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5083 (or 5076 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 33094152 is about 5752.7516894092. The cubic root of 33094152 is about 321.0581895849.

The spelling of 33094152 in words is "thirty-three million, ninety-four thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 28 36 39 42 52 56 63 72 78 84 91 104 117 126 156 168 182 234 252 273 312 364 468 504 546 728 819 936 1092 1638 2184 3276 5051 6552 10102 15153 20204 30306 35357 40408 45459 60612 65663 70714 90918 106071 121224 131326 141428 181836 196989 212142 262652 282856 318213 363672 393978 424284 459641 525304 590967 636426 787956 848568 919282 1181934 1272852 1378923 1575912 1838564 2363868 2545704 2757846 3677128 4136769 4727736 5515692 8273538 11031384 16547076 33094152