Search a number
-
+
33049520 = 245728431
BaseRepresentation
bin111111000010…
…0101110110000
32022012002102022
41332010232300
531430041040
63140211012
7550626200
oct176045660
968162368
1033049520
1117723659
12b099a68
136b0203a
144564400
152d7c6b5
hex1f84bb0

33049520 has 60 divisors (see below), whose sum is σ = 89396064. Its totient is φ = 11329920.

The previous prime is 33049487. The next prime is 33049529. The reversal of 33049520 is 2594033.

It is a self number, because there is not a number n which added to its sum of digits gives 33049520.

It is not an unprimeable number, because it can be changed into a prime (33049529) 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 11 ways as a sum of consecutive naturals, for example, 296 + ... + 8135.

Almost surely, 233049520 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 33049520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44698032).

33049520 is an abundant number, since it is smaller than the sum of its proper divisors (56346544).

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

33049520 is a wasteful number, since it uses less digits than its factorization.

33049520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8458 (or 8445 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 26.

The square root of 33049520 is about 5748.8711935475. The cubic root of 33049520 is about 320.9137943284.

The spelling of 33049520 in words is "thirty-three million, forty-nine thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 49 56 70 80 98 112 140 196 245 280 392 490 560 784 980 1960 3920 8431 16862 33724 42155 59017 67448 84310 118034 134896 168620 236068 295085 337240 413119 472136 590170 674480 826238 944272 1180340 1652476 2065595 2360680 3304952 4131190 4721360 6609904 8262380 16524760 33049520