Search a number
-
+
33161952 = 253232653
BaseRepresentation
bin111111010000…
…0001011100000
32022101210122110
41332200023200
531442140302
63142435320
7551605035
oct176401340
968353573
1033161952
11177a007a
12b132b40
136b41275
14459338c
152da0b6c
hex1fa02e0

33161952 has 72 divisors (see below), whose sum is σ = 91138824. Its totient is φ = 10557184.

The previous prime is 33161939. The next prime is 33161963. The reversal of 33161952 is 25916133.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50458 + ... + 51110.

It is an arithmetic number, because the mean of its divisors is an integer number (1265817).

Almost surely, 233161952 is an apocalyptic number.

33161952 is a gapful number since it is divisible by the number (32) 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 33161952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45569412).

33161952 is an abundant number, since it is smaller than the sum of its proper divisors (57976872).

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

33161952 is a wasteful number, since it uses less digits than its factorization.

33161952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 712 (or 681 counting only the distinct ones).

The product of its digits is 4860, while the sum is 30.

The square root of 33161952 is about 5758.6415064666. The cubic root of 33161952 is about 321.2772907014.

The spelling of 33161952 in words is "thirty-three million, one hundred sixty-one thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 138 184 276 368 529 552 653 736 1058 1104 1306 1587 1959 2116 2208 2612 3174 3918 4232 5224 6348 7836 8464 10448 12696 15019 15672 16928 20896 25392 30038 31344 45057 50784 60076 62688 90114 120152 180228 240304 345437 360456 480608 690874 720912 1036311 1381748 1441824 2072622 2763496 4145244 5526992 8290488 11053984 16580976 33161952