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33425740 = 2251725783
BaseRepresentation
bin111111110000…
…0100101001100
32022220012111101
41333200211030
532024110430
63152232444
7554054065
oct177404514
968805441
1033425740
1117960287
12b23b724
136c0435a
14462156c
152e03dca
hex1fe094c

33425740 has 36 divisors (see below), whose sum is σ = 74578896. Its totient is φ = 12581632.

The previous prime is 33425737. The next prime is 33425741. The reversal of 33425740 is 4752433.

It is a super-2 number, since 2×334257402 = 2234560189095200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33425699 and 33425708.

It is not an unprimeable number, because it can be changed into a prime (33425741) 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, 2889 + ... + 8671.

It is an arithmetic number, because the mean of its divisors is an integer number (2071636).

Almost surely, 233425740 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 33425740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37289448).

33425740 is an abundant number, since it is smaller than the sum of its proper divisors (41153156).

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

33425740 is a wasteful number, since it uses less digits than its factorization.

33425740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5826 (or 5807 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 28.

The square root of 33425740 is about 5781.4998054138. The cubic root of 33425740 is about 322.1269126666.

The spelling of 33425740 in words is "thirty-three million, four hundred twenty-five thousand, seven hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 289 340 578 1156 1445 2890 5780 5783 11566 23132 28915 57830 98311 115660 196622 393244 491555 983110 1671287 1966220 3342574 6685148 8356435 16712870 33425740