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33084990 = 2335181677
BaseRepresentation
bin111111000110…
…1011000111110
32022020220002000
41332031120332
531432204430
63141043130
7551134461
oct176153076
968226060
1033084990
1117748274
12b0b64a6
136b15223
1445732d8
152d87e60
hex1f8d63e

33084990 has 64 divisors (see below), whose sum is σ = 88845120. Its totient is φ = 8760960.

The previous prime is 33084983. The next prime is 33085001. The reversal of 33084990 is 9948033.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48532 + ... + 49208.

It is an arithmetic number, because the mean of its divisors is an integer number (1388205).

Almost surely, 233084990 is an apocalyptic number.

33084990 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 33084990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44422560).

33084990 is an abundant number, since it is smaller than the sum of its proper divisors (55760130).

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

33084990 is a wasteful number, since it uses less digits than its factorization.

33084990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 874 (or 868 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 33084990 is about 5751.9553197152. The cubic root of 33084990 is about 321.0285589055.

The spelling of 33084990 in words is "thirty-three million, eighty-four thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 181 270 362 543 677 905 1086 1354 1629 1810 2031 2715 3258 3385 4062 4887 5430 6093 6770 8145 9774 10155 12186 16290 18279 20310 24435 30465 36558 48870 60930 91395 122537 182790 245074 367611 612685 735222 1102833 1225370 1838055 2205666 3308499 3676110 5514165 6616998 11028330 16542495 33084990