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33148940 = 22511891693
BaseRepresentation
bin111111001110…
…1000000001100
32022101010210112
41332131000030
531441231230
63142255152
7551522066
oct176350014
968333715
1033148940
1117791320
12b1274b8
136b38376
14458c736
152d9bd95
hex1f9d00c

33148940 has 48 divisors (see below), whose sum is σ = 76839840. Its totient is φ = 11911680.

The previous prime is 33148937. The next prime is 33148949. The reversal of 33148940 is 4984133.

It is a junction number, because it is equal to n+sod(n) for n = 33148897 and 33148906.

It is not an unprimeable number, because it can be changed into a prime (33148949) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18734 + ... + 20426.

It is an arithmetic number, because the mean of its divisors is an integer number (1600830).

Almost surely, 233148940 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 33148940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38419920).

33148940 is an abundant number, since it is smaller than the sum of its proper divisors (43690900).

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

33148940 is a wasteful number, since it uses less digits than its factorization.

33148940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1802 (or 1800 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The square root of 33148940 is about 5757.5116152727. The cubic root of 33148940 is about 321.2352645565.

The spelling of 33148940 in words is "thirty-three million, one hundred forty-eight thousand, nine hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 89 110 178 220 356 445 890 979 1693 1780 1958 3386 3916 4895 6772 8465 9790 16930 18623 19580 33860 37246 74492 93115 150677 186230 301354 372460 602708 753385 1506770 1657447 3013540 3314894 6629788 8287235 16574470 33148940